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Finding the Fourth Proportional to 157.11, 234.63 and 136.38

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Solution

The fourth proportional to 157.11, 234.63 and 136.38 is: 203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.11 : 234.63 = 136.38 : x
  2. Step 2: Convert to fraction form
    157.11/234.63 = 136.38/x
  3. Step 3: Cross multiply
    157.11x = 234.63 × 136.38
  4. Step 4: Simplify right side
    157.11x = 31,999.72
  5. Step 5: Solve for x
    x = 31,999.72/157.11
  6. Step 6: Final answer
    x = 203.68

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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.