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Finding the Fourth Proportional to 159.15, 237.64 and 136.29

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Solution

The fourth proportional to 159.15, 237.64 and 136.29 is: 203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.15 : 237.64 = 136.29 : x
  2. Step 2: Convert to fraction form
    159.15/237.64 = 136.29/x
  3. Step 3: Cross multiply
    159.15x = 237.64 × 136.29
  4. Step 4: Simplify right side
    159.15x = 32,387.96
  5. Step 5: Solve for x
    x = 32,387.96/159.15
  6. Step 6: Final answer
    x = 203.51

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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.