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Finding the Fourth Proportional to 104.38, 155.57 and 99.86

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Solution

The fourth proportional to 104.38, 155.57 and 99.86 is: 148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.38 : 155.57 = 99.86 : x
  2. Step 2: Convert to fraction form
    104.38/155.57 = 99.86/x
  3. Step 3: Cross multiply
    104.38x = 155.57 × 99.86
  4. Step 4: Simplify right side
    104.38x = 15,533.94
  5. Step 5: Solve for x
    x = 15,533.94/104.38
  6. Step 6: Final answer
    x = 148.82

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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.