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Finding the Fourth Proportional to 316.79, 472.70 and 280.34

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Solution

The fourth proportional to 316.79, 472.70 and 280.34 is: 418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.79 : 472.70 = 280.34 : x
  2. Step 2: Convert to fraction form
    316.79/472.70 = 280.34/x
  3. Step 3: Cross multiply
    316.79x = 472.70 × 280.34
  4. Step 4: Simplify right side
    316.79x = 132,516.72
  5. Step 5: Solve for x
    x = 132,516.72/316.79
  6. Step 6: Final answer
    x = 418.31

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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.