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Finding the Fourth Proportional to 312.20, 468.45 and 149.90

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Solution

The fourth proportional to 312.20, 468.45 and 149.90 is: 224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.20 : 468.45 = 149.90 : x
  2. Step 2: Convert to fraction form
    312.20/468.45 = 149.90/x
  3. Step 3: Cross multiply
    312.20x = 468.45 × 149.90
  4. Step 4: Simplify right side
    312.20x = 70,218.31
  5. Step 5: Solve for x
    x = 70,218.31/312.20
  6. Step 6: Final answer
    x = 224.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.