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Finding the Fourth Proportional to 104.64, 155.96 and 98.76

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Solution

The fourth proportional to 104.64, 155.96 and 98.76 is: 147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.64 : 155.96 = 98.76 : x
  2. Step 2: Convert to fraction form
    104.64/155.96 = 98.76/x
  3. Step 3: Cross multiply
    104.64x = 155.96 × 98.76
  4. Step 4: Simplify right side
    104.64x = 15,402.61
  5. Step 5: Solve for x
    x = 15,402.61/104.64
  6. Step 6: Final answer
    x = 147.20

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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.