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Finding the Fourth Proportional to 65.31, 97.75 and 53.78

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Solution

The fourth proportional to 65.31, 97.75 and 53.78 is: 80.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.31 : 97.75 = 53.78 : x
  2. Step 2: Convert to fraction form
    65.31/97.75 = 53.78/x
  3. Step 3: Cross multiply
    65.31x = 97.75 × 53.78
  4. Step 4: Simplify right side
    65.31x = 5,257.00
  5. Step 5: Solve for x
    x = 5,257.00/65.31
  6. Step 6: Final answer
    x = 80.49

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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.