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Finding the Fourth Proportional to 104.39, 156.28 and 77.20

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Solution

The fourth proportional to 104.39, 156.28 and 77.20 is: 115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.39 : 156.28 = 77.20 : x
  2. Step 2: Convert to fraction form
    104.39/156.28 = 77.20/x
  3. Step 3: Cross multiply
    104.39x = 156.28 × 77.20
  4. Step 4: Simplify right side
    104.39x = 12,065.26
  5. Step 5: Solve for x
    x = 12,065.26/104.39
  6. Step 6: Final answer
    x = 115.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.