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Finding the Fourth Proportional to 42.46, 64.00 and 39.68

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Solution

The fourth proportional to 42.46, 64.00 and 39.68 is: 59.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.46 : 64.00 = 39.68 : x
  2. Step 2: Convert to fraction form
    42.46/64.00 = 39.68/x
  3. Step 3: Cross multiply
    42.46x = 64.00 × 39.68
  4. Step 4: Simplify right side
    42.46x = 2,539.10
  5. Step 5: Solve for x
    x = 2,539.10/42.46
  6. Step 6: Final answer
    x = 59.80

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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.