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Finding the Fourth Proportional to 159.57, 240.37 and 151.07

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Solution

The fourth proportional to 159.57, 240.37 and 151.07 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.57 : 240.37 = 151.07 : x
  2. Step 2: Convert to fraction form
    159.57/240.37 = 151.07/x
  3. Step 3: Cross multiply
    159.57x = 240.37 × 151.07
  4. Step 4: Simplify right side
    159.57x = 36,311.12
  5. Step 5: Solve for x
    x = 36,311.12/159.57
  6. Step 6: Final answer
    x = 227.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.