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Finding the Fourth Proportional to 64.65, 88.97 and 61.92

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Solution

The fourth proportional to 64.65, 88.97 and 61.92 is: 85.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.65 : 88.97 = 61.92 : x
  2. Step 2: Convert to fraction form
    64.65/88.97 = 61.92/x
  3. Step 3: Cross multiply
    64.65x = 88.97 × 61.92
  4. Step 4: Simplify right side
    64.65x = 5,508.71
  5. Step 5: Solve for x
    x = 5,508.71/64.65
  6. Step 6: Final answer
    x = 85.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.