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Finding the Fourth Proportional to 60.52, 83.62 and 51.88

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Solution

The fourth proportional to 60.52, 83.62 and 51.88 is: 71.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.52 : 83.62 = 51.88 : x
  2. Step 2: Convert to fraction form
    60.52/83.62 = 51.88/x
  3. Step 3: Cross multiply
    60.52x = 83.62 × 51.88
  4. Step 4: Simplify right side
    60.52x = 4,338.21
  5. Step 5: Solve for x
    x = 4,338.21/60.52
  6. Step 6: Final answer
    x = 71.68

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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.