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Finding the Fourth Proportional to 157.58, 217.38 and 136.83

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Solution

The fourth proportional to 157.58, 217.38 and 136.83 is: 188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.58 : 217.38 = 136.83 : x
  2. Step 2: Convert to fraction form
    157.58/217.38 = 136.83/x
  3. Step 3: Cross multiply
    157.58x = 217.38 × 136.83
  4. Step 4: Simplify right side
    157.58x = 29,744.11
  5. Step 5: Solve for x
    x = 29,744.11/157.58
  6. Step 6: Final answer
    x = 188.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.