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Finding the Fourth Proportional to 31.48, 43.54 and 30.76

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Solution

The fourth proportional to 31.48, 43.54 and 30.76 is: 42.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.48 : 43.54 = 30.76 : x
  2. Step 2: Convert to fraction form
    31.48/43.54 = 30.76/x
  3. Step 3: Cross multiply
    31.48x = 43.54 × 30.76
  4. Step 4: Simplify right side
    31.48x = 1,339.29
  5. Step 5: Solve for x
    x = 1,339.29/31.48
  6. Step 6: Final answer
    x = 42.54

Related Problems

Find fourth proportional to 15.74, 21.77 and 15.38
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.