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Finding the Fourth Proportional to 60.72, 90.91 and 55.03

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Solution

The fourth proportional to 60.72, 90.91 and 55.03 is: 82.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.72 : 90.91 = 55.03 : x
  2. Step 2: Convert to fraction form
    60.72/90.91 = 55.03/x
  3. Step 3: Cross multiply
    60.72x = 90.91 × 55.03
  4. Step 4: Simplify right side
    60.72x = 5,002.78
  5. Step 5: Solve for x
    x = 5,002.78/60.72
  6. Step 6: Final answer
    x = 82.39

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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.