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Finding the Fourth Proportional to 31, 42.47 and 30.73

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Solution

The fourth proportional to 31, 42.47 and 30.73 is: 42.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 42.47 = 30.73 : x
  2. Step 2: Convert to fraction form
    31/42.47 = 30.73/x
  3. Step 3: Cross multiply
    31x = 42.47 × 30.73
  4. Step 4: Simplify right side
    31x = 1,305.10
  5. Step 5: Solve for x
    x = 1,305.10/31
  6. Step 6: Final answer
    x = 42.10

Related Problems

Find fourth proportional to 15.50, 21.24 and 15.37
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Double scale
Find fourth proportional to 32, 43.84 and 31.73
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.