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Finding the Fourth Proportional to 69.48, 96.36 and 65.80

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Solution

The fourth proportional to 69.48, 96.36 and 65.80 is: 91.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.48 : 96.36 = 65.80 : x
  2. Step 2: Convert to fraction form
    69.48/96.36 = 65.80/x
  3. Step 3: Cross multiply
    69.48x = 96.36 × 65.80
  4. Step 4: Simplify right side
    69.48x = 6,340.49
  5. Step 5: Solve for x
    x = 6,340.49/69.48
  6. Step 6: Final answer
    x = 91.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.