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Finding the Fourth Proportional to 42.49, 64.13 and 41.41

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Solution

The fourth proportional to 42.49, 64.13 and 41.41 is: 62.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.49 : 64.13 = 41.41 : x
  2. Step 2: Convert to fraction form
    42.49/64.13 = 41.41/x
  3. Step 3: Cross multiply
    42.49x = 64.13 × 41.41
  4. Step 4: Simplify right side
    42.49x = 2,655.62
  5. Step 5: Solve for x
    x = 2,655.62/42.49
  6. Step 6: Final answer
    x = 62.50

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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.