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Finding the Fourth Proportional to 159.72, 237.99 and 152.75

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Solution

The fourth proportional to 159.72, 237.99 and 152.75 is: 227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.72 : 237.99 = 152.75 : x
  2. Step 2: Convert to fraction form
    159.72/237.99 = 152.75/x
  3. Step 3: Cross multiply
    159.72x = 237.99 × 152.75
  4. Step 4: Simplify right side
    159.72x = 36,351.78
  5. Step 5: Solve for x
    x = 36,351.78/159.72
  6. Step 6: Final answer
    x = 227.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.