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Finding the Fourth Proportional to 477.72, 659.28 and 330.42

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Solution

The fourth proportional to 477.72, 659.28 and 330.42 is: 456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.72 : 659.28 = 330.42 : x
  2. Step 2: Convert to fraction form
    477.72/659.28 = 330.42/x
  3. Step 3: Cross multiply
    477.72x = 659.28 × 330.42
  4. Step 4: Simplify right side
    477.72x = 217,839.30
  5. Step 5: Solve for x
    x = 217,839.30/477.72
  6. Step 6: Final answer
    x = 456.00

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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.