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Finding the Fourth Proportional to 42.02, 57.96 and 31.10

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Solution

The fourth proportional to 42.02, 57.96 and 31.10 is: 42.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.02 : 57.96 = 31.10 : x
  2. Step 2: Convert to fraction form
    42.02/57.96 = 31.10/x
  3. Step 3: Cross multiply
    42.02x = 57.96 × 31.10
  4. Step 4: Simplify right side
    42.02x = 1,802.56
  5. Step 5: Solve for x
    x = 1,802.56/42.02
  6. Step 6: Final answer
    x = 42.90

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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.