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Finding the Fourth Proportional to 60.76, 83.68 and 42.31

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Solution

The fourth proportional to 60.76, 83.68 and 42.31 is: 58.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.76 : 83.68 = 42.31 : x
  2. Step 2: Convert to fraction form
    60.76/83.68 = 42.31/x
  3. Step 3: Cross multiply
    60.76x = 83.68 × 42.31
  4. Step 4: Simplify right side
    60.76x = 3,540.50
  5. Step 5: Solve for x
    x = 3,540.50/60.76
  6. Step 6: Final answer
    x = 58.27

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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.