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Finding the Fourth Proportional to 311.76, 467.76 and 149.40

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Solution

The fourth proportional to 311.76, 467.76 and 149.40 is: 224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.76 : 467.76 = 149.40 : x
  2. Step 2: Convert to fraction form
    311.76/467.76 = 149.40/x
  3. Step 3: Cross multiply
    311.76x = 467.76 × 149.40
  4. Step 4: Simplify right side
    311.76x = 69,883.34
  5. Step 5: Solve for x
    x = 69,883.34/311.76
  6. Step 6: Final answer
    x = 224.16

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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.