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Finding the Fourth Proportional to 159.42, 237.80 and 150.11

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Solution

The fourth proportional to 159.42, 237.80 and 150.11 is: 223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.42 : 237.80 = 150.11 : x
  2. Step 2: Convert to fraction form
    159.42/237.80 = 150.11/x
  3. Step 3: Cross multiply
    159.42x = 237.80 × 150.11
  4. Step 4: Simplify right side
    159.42x = 35,694.22
  5. Step 5: Solve for x
    x = 35,694.22/159.42
  6. Step 6: Final answer
    x = 223.90

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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.