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Finding the Fourth Proportional to 42.57, 64.13 and 40.23

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Solution

The fourth proportional to 42.57, 64.13 and 40.23 is: 60.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.57 : 64.13 = 40.23 : x
  2. Step 2: Convert to fraction form
    42.57/64.13 = 40.23/x
  3. Step 3: Cross multiply
    42.57x = 64.13 × 40.23
  4. Step 4: Simplify right side
    42.57x = 2,579.75
  5. Step 5: Solve for x
    x = 2,579.75/42.57
  6. Step 6: Final answer
    x = 60.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.