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Finding the Fourth Proportional to 342.90, 472.86 and 280.62

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Solution

The fourth proportional to 342.90, 472.86 and 280.62 is: 386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.90 : 472.86 = 280.62 : x
  2. Step 2: Convert to fraction form
    342.90/472.86 = 280.62/x
  3. Step 3: Cross multiply
    342.90x = 472.86 × 280.62
  4. Step 4: Simplify right side
    342.90x = 132,693.97
  5. Step 5: Solve for x
    x = 132,693.97/342.90
  6. Step 6: Final answer
    x = 386.98

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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.