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Finding the Fourth Proportional to 157.29, 234.81 and 136.79

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Solution

The fourth proportional to 157.29, 234.81 and 136.79 is: 204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.29 : 234.81 = 136.79 : x
  2. Step 2: Convert to fraction form
    157.29/234.81 = 136.79/x
  3. Step 3: Cross multiply
    157.29x = 234.81 × 136.79
  4. Step 4: Simplify right side
    157.29x = 32,119.66
  5. Step 5: Solve for x
    x = 32,119.66/157.29
  6. Step 6: Final answer
    x = 204.21

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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.