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Finding the Fourth Proportional to 69.38, 103.61 and 59.77

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Solution

The fourth proportional to 69.38, 103.61 and 59.77 is: 89.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.38 : 103.61 = 59.77 : x
  2. Step 2: Convert to fraction form
    69.38/103.61 = 59.77/x
  3. Step 3: Cross multiply
    69.38x = 103.61 × 59.77
  4. Step 4: Simplify right side
    69.38x = 6,192.25
  5. Step 5: Solve for x
    x = 6,192.25/69.38
  6. Step 6: Final answer
    x = 89.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.