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Finding the Fourth Proportional to 64.38, 97.05 and 59.42

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Solution

The fourth proportional to 64.38, 97.05 and 59.42 is: 89.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.38 : 97.05 = 59.42 : x
  2. Step 2: Convert to fraction form
    64.38/97.05 = 59.42/x
  3. Step 3: Cross multiply
    64.38x = 97.05 × 59.42
  4. Step 4: Simplify right side
    64.38x = 5,766.71
  5. Step 5: Solve for x
    x = 5,766.71/64.38
  6. Step 6: Final answer
    x = 89.57

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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.