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Finding the Fourth Proportional to 347.27, 478.94 and 280.85

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Solution

The fourth proportional to 347.27, 478.94 and 280.85 is: 387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.27 : 478.94 = 280.85 : x
  2. Step 2: Convert to fraction form
    347.27/478.94 = 280.85/x
  3. Step 3: Cross multiply
    347.27x = 478.94 × 280.85
  4. Step 4: Simplify right side
    347.27x = 134,506.50
  5. Step 5: Solve for x
    x = 134,506.50/347.27
  6. Step 6: Final answer
    x = 387.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.