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Finding the Fourth Proportional to 155.68, 231.68 and 150.49

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Solution

The fourth proportional to 155.68, 231.68 and 150.49 is: 223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.68 : 231.68 = 150.49 : x
  2. Step 2: Convert to fraction form
    155.68/231.68 = 150.49/x
  3. Step 3: Cross multiply
    155.68x = 231.68 × 150.49
  4. Step 4: Simplify right side
    155.68x = 34,865.97
  5. Step 5: Solve for x
    x = 34,865.97/155.68
  6. Step 6: Final answer
    x = 223.96

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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.