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Finding the Fourth Proportional to 157.15, 234.56 and 133.86

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Solution

The fourth proportional to 157.15, 234.56 and 133.86 is: 199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.15 : 234.56 = 133.86 : x
  2. Step 2: Convert to fraction form
    157.15/234.56 = 133.86/x
  3. Step 3: Cross multiply
    157.15x = 234.56 × 133.86
  4. Step 4: Simplify right side
    157.15x = 31,397.53
  5. Step 5: Solve for x
    x = 31,397.53/157.15
  6. Step 6: Final answer
    x = 199.80

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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.