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Finding the Fourth Proportional to 104.62, 155.75 and 104.02

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Solution

The fourth proportional to 104.62, 155.75 and 104.02 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.62 : 155.75 = 104.02 : x
  2. Step 2: Convert to fraction form
    104.62/155.75 = 104.02/x
  3. Step 3: Cross multiply
    104.62x = 155.75 × 104.02
  4. Step 4: Simplify right side
    104.62x = 16,200.34
  5. Step 5: Solve for x
    x = 16,200.34/104.62
  6. Step 6: Final answer
    x = 154.85

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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.