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Finding the Fourth Proportional to 31.48, 43.60 and 30.77

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Solution

The fourth proportional to 31.48, 43.60 and 30.77 is: 42.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.48 : 43.60 = 30.77 : x
  2. Step 2: Convert to fraction form
    31.48/43.60 = 30.77/x
  3. Step 3: Cross multiply
    31.48x = 43.60 × 30.77
  4. Step 4: Simplify right side
    31.48x = 1,341.57
  5. Step 5: Solve for x
    x = 1,341.57/31.48
  6. Step 6: Final answer
    x = 42.62

Related Problems

Find fourth proportional to 15.74, 21.80 and 15.39
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.