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Finding the Fourth Proportional to 318.80, 477.66 and 270.92

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Solution

The fourth proportional to 318.80, 477.66 and 270.92 is: 405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.80 : 477.66 = 270.92 : x
  2. Step 2: Convert to fraction form
    318.80/477.66 = 270.92/x
  3. Step 3: Cross multiply
    318.80x = 477.66 × 270.92
  4. Step 4: Simplify right side
    318.80x = 129,407.65
  5. Step 5: Solve for x
    x = 129,407.65/318.80
  6. Step 6: Final answer
    x = 405.92

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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.