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Finding the Fourth Proportional to 330.71, 456.20 and 307.25

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Solution

The fourth proportional to 330.71, 456.20 and 307.25 is: 423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.71 : 456.20 = 307.25 : x
  2. Step 2: Convert to fraction form
    330.71/456.20 = 307.25/x
  3. Step 3: Cross multiply
    330.71x = 456.20 × 307.25
  4. Step 4: Simplify right side
    330.71x = 140,169.36
  5. Step 5: Solve for x
    x = 140,169.36/330.71
  6. Step 6: Final answer
    x = 423.85

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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.