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Finding the Fourth Proportional to 42.65, 64.00 and 15.61

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Solution

The fourth proportional to 42.65, 64.00 and 15.61 is: 23.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.65 : 64.00 = 15.61 : x
  2. Step 2: Convert to fraction form
    42.65/64.00 = 15.61/x
  3. Step 3: Cross multiply
    42.65x = 64.00 × 15.61
  4. Step 4: Simplify right side
    42.65x = 998.90
  5. Step 5: Solve for x
    x = 998.90/42.65
  6. Step 6: Final answer
    x = 23.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.