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Finding the Fourth Proportional to 157.26, 216.58 and 149.42

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Solution

The fourth proportional to 157.26, 216.58 and 149.42 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.26 : 216.58 = 149.42 : x
  2. Step 2: Convert to fraction form
    157.26/216.58 = 149.42/x
  3. Step 3: Cross multiply
    157.26x = 216.58 × 149.42
  4. Step 4: Simplify right side
    157.26x = 32,361.38
  5. Step 5: Solve for x
    x = 32,361.38/157.26
  6. Step 6: Final answer
    x = 205.78

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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.