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Finding the Fourth Proportional to 104.33, 156.55 and 74.15

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Solution

The fourth proportional to 104.33, 156.55 and 74.15 is: 111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.33 : 156.55 = 74.15 : x
  2. Step 2: Convert to fraction form
    104.33/156.55 = 74.15/x
  3. Step 3: Cross multiply
    104.33x = 156.55 × 74.15
  4. Step 4: Simplify right side
    104.33x = 11,607.21
  5. Step 5: Solve for x
    x = 11,607.21/104.33
  6. Step 6: Final answer
    x = 111.25

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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.