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Finding the Fourth Proportional to 316.80, 476.04 and 270.66

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Solution

The fourth proportional to 316.80, 476.04 and 270.66 is: 406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 476.04 = 270.66 : x
  2. Step 2: Convert to fraction form
    316.80/476.04 = 270.66/x
  3. Step 3: Cross multiply
    316.80x = 476.04 × 270.66
  4. Step 4: Simplify right side
    316.80x = 128,844.99
  5. Step 5: Solve for x
    x = 128,844.99/316.80
  6. Step 6: Final answer
    x = 406.71

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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.