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Finding the Fourth Proportional to 157.62, 217.53 and 98.65

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Solution

The fourth proportional to 157.62, 217.53 and 98.65 is: 136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.62 : 217.53 = 98.65 : x
  2. Step 2: Convert to fraction form
    157.62/217.53 = 98.65/x
  3. Step 3: Cross multiply
    157.62x = 217.53 × 98.65
  4. Step 4: Simplify right side
    157.62x = 21,458.79
  5. Step 5: Solve for x
    x = 21,458.79/157.62
  6. Step 6: Final answer
    x = 136.14

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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.