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Finding the Fourth Proportional to 155.24, 231.95 and 149.86

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Solution

The fourth proportional to 155.24, 231.95 and 149.86 is: 223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.24 : 231.95 = 149.86 : x
  2. Step 2: Convert to fraction form
    155.24/231.95 = 149.86/x
  3. Step 3: Cross multiply
    155.24x = 231.95 × 149.86
  4. Step 4: Simplify right side
    155.24x = 34,758.12
  5. Step 5: Solve for x
    x = 34,758.12/155.24
  6. Step 6: Final answer
    x = 223.91

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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.