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Finding the Fourth Proportional to 159.49, 240.40 and 150.67

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Solution

The fourth proportional to 159.49, 240.40 and 150.67 is: 227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.49 : 240.40 = 150.67 : x
  2. Step 2: Convert to fraction form
    159.49/240.40 = 150.67/x
  3. Step 3: Cross multiply
    159.49x = 240.40 × 150.67
  4. Step 4: Simplify right side
    159.49x = 36,221.07
  5. Step 5: Solve for x
    x = 36,221.07/159.49
  6. Step 6: Final answer
    x = 227.11

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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.