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Finding the Fourth Proportional to 65.29, 98.12 and 54.52

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Solution

The fourth proportional to 65.29, 98.12 and 54.52 is: 81.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.29 : 98.12 = 54.52 : x
  2. Step 2: Convert to fraction form
    65.29/98.12 = 54.52/x
  3. Step 3: Cross multiply
    65.29x = 98.12 × 54.52
  4. Step 4: Simplify right side
    65.29x = 5,349.50
  5. Step 5: Solve for x
    x = 5,349.50/65.29
  6. Step 6: Final answer
    x = 81.93

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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.