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Finding the Fourth Proportional to 42.18, 62.70 and 40.32

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Solution

The fourth proportional to 42.18, 62.70 and 40.32 is: 59.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.18 : 62.70 = 40.32 : x
  2. Step 2: Convert to fraction form
    42.18/62.70 = 40.32/x
  3. Step 3: Cross multiply
    42.18x = 62.70 × 40.32
  4. Step 4: Simplify right side
    42.18x = 2,528.06
  5. Step 5: Solve for x
    x = 2,528.06/42.18
  6. Step 6: Final answer
    x = 59.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.