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Finding the Fourth Proportional to 104.78, 156.38 and 102.04

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Solution

The fourth proportional to 104.78, 156.38 and 102.04 is: 152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.78 : 156.38 = 102.04 : x
  2. Step 2: Convert to fraction form
    104.78/156.38 = 102.04/x
  3. Step 3: Cross multiply
    104.78x = 156.38 × 102.04
  4. Step 4: Simplify right side
    104.78x = 15,957.02
  5. Step 5: Solve for x
    x = 15,957.02/104.78
  6. Step 6: Final answer
    x = 152.29

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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.