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Finding the Fourth Proportional to 159.17, 238.55 and 104.22

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Solution

The fourth proportional to 159.17, 238.55 and 104.22 is: 156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.17 : 238.55 = 104.22 : x
  2. Step 2: Convert to fraction form
    159.17/238.55 = 104.22/x
  3. Step 3: Cross multiply
    159.17x = 238.55 × 104.22
  4. Step 4: Simplify right side
    159.17x = 24,861.16
  5. Step 5: Solve for x
    x = 24,861.16/159.17
  6. Step 6: Final answer
    x = 156.20

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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.