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Finding the Fourth Proportional to 316.80, 472.46 and 290.23

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Solution

The fourth proportional to 316.80, 472.46 and 290.23 is: 432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 472.46 = 290.23 : x
  2. Step 2: Convert to fraction form
    316.80/472.46 = 290.23/x
  3. Step 3: Cross multiply
    316.80x = 472.46 × 290.23
  4. Step 4: Simplify right side
    316.80x = 137,121.61
  5. Step 5: Solve for x
    x = 137,121.61/316.80
  6. Step 6: Final answer
    x = 432.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.