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Finding the Fourth Proportional to 65.12, 97.56 and 58.36

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Solution

The fourth proportional to 65.12, 97.56 and 58.36 is: 87.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 97.56 = 58.36 : x
  2. Step 2: Convert to fraction form
    65.12/97.56 = 58.36/x
  3. Step 3: Cross multiply
    65.12x = 97.56 × 58.36
  4. Step 4: Simplify right side
    65.12x = 5,693.60
  5. Step 5: Solve for x
    x = 5,693.60/65.12
  6. Step 6: Final answer
    x = 87.43

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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.