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Finding the Fourth Proportional to 69.29, 95.65 and 65.24

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Solution

The fourth proportional to 69.29, 95.65 and 65.24 is: 90.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 95.65 = 65.24 : x
  2. Step 2: Convert to fraction form
    69.29/95.65 = 65.24/x
  3. Step 3: Cross multiply
    69.29x = 95.65 × 65.24
  4. Step 4: Simplify right side
    69.29x = 6,239.56
  5. Step 5: Solve for x
    x = 6,239.56/69.29
  6. Step 6: Final answer
    x = 90.06

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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.