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Finding the Fourth Proportional to 151.63, 226.99 and 97.57

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Solution

The fourth proportional to 151.63, 226.99 and 97.57 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.63 : 226.99 = 97.57 : x
  2. Step 2: Convert to fraction form
    151.63/226.99 = 97.57/x
  3. Step 3: Cross multiply
    151.63x = 226.99 × 97.57
  4. Step 4: Simplify right side
    151.63x = 22,147.41
  5. Step 5: Solve for x
    x = 22,147.41/151.63
  6. Step 6: Final answer
    x = 146.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.