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Finding the Fourth Proportional to 330.42, 495 and 318.24

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Solution

The fourth proportional to 330.42, 495 and 318.24 is: 476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.42 : 495 = 318.24 : x
  2. Step 2: Convert to fraction form
    330.42/495 = 318.24/x
  3. Step 3: Cross multiply
    330.42x = 495 × 318.24
  4. Step 4: Simplify right side
    330.42x = 157,528.80
  5. Step 5: Solve for x
    x = 157,528.80/330.42
  6. Step 6: Final answer
    x = 476.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.