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Finding the Fourth Proportional to 330.28, 454.72 and 312.97

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Solution

The fourth proportional to 330.28, 454.72 and 312.97 is: 430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.28 : 454.72 = 312.97 : x
  2. Step 2: Convert to fraction form
    330.28/454.72 = 312.97/x
  3. Step 3: Cross multiply
    330.28x = 454.72 × 312.97
  4. Step 4: Simplify right side
    330.28x = 142,311.80
  5. Step 5: Solve for x
    x = 142,311.80/330.28
  6. Step 6: Final answer
    x = 430.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.