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Finding the Fourth Proportional to 330.97, 456.72 and 206.65

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Solution

The fourth proportional to 330.97, 456.72 and 206.65 is: 285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.97 : 456.72 = 206.65 : x
  2. Step 2: Convert to fraction form
    330.97/456.72 = 206.65/x
  3. Step 3: Cross multiply
    330.97x = 456.72 × 206.65
  4. Step 4: Simplify right side
    330.97x = 94,381.19
  5. Step 5: Solve for x
    x = 94,381.19/330.97
  6. Step 6: Final answer
    x = 285.17

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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.