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Finding the Fourth Proportional to 346.38, 478.27 and 280.78

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Solution

The fourth proportional to 346.38, 478.27 and 280.78 is: 387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.38 : 478.27 = 280.78 : x
  2. Step 2: Convert to fraction form
    346.38/478.27 = 280.78/x
  3. Step 3: Cross multiply
    346.38x = 478.27 × 280.78
  4. Step 4: Simplify right side
    346.38x = 134,288.65
  5. Step 5: Solve for x
    x = 134,288.65/346.38
  6. Step 6: Final answer
    x = 387.69

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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.