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Finding the Fourth Proportional to 330.52, 456.24 and 206.30

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Solution

The fourth proportional to 330.52, 456.24 and 206.30 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.52 : 456.24 = 206.30 : x
  2. Step 2: Convert to fraction form
    330.52/456.24 = 206.30/x
  3. Step 3: Cross multiply
    330.52x = 456.24 × 206.30
  4. Step 4: Simplify right side
    330.52x = 94,122.31
  5. Step 5: Solve for x
    x = 94,122.31/330.52
  6. Step 6: Final answer
    x = 284.77

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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.