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Finding the Fourth Proportional to 316.31, 472.23 and 283.70

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Solution

The fourth proportional to 316.31, 472.23 and 283.70 is: 423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.31 : 472.23 = 283.70 : x
  2. Step 2: Convert to fraction form
    316.31/472.23 = 283.70/x
  3. Step 3: Cross multiply
    316.31x = 472.23 × 283.70
  4. Step 4: Simplify right side
    316.31x = 133,972.83
  5. Step 5: Solve for x
    x = 133,972.83/316.31
  6. Step 6: Final answer
    x = 423.56

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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.