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Finding the Fourth Proportional to 297.18, 409.59 and 280.71

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Solution

The fourth proportional to 297.18, 409.59 and 280.71 is: 386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 409.59 = 280.71 : x
  2. Step 2: Convert to fraction form
    297.18/409.59 = 280.71/x
  3. Step 3: Cross multiply
    297.18x = 409.59 × 280.71
  4. Step 4: Simplify right side
    297.18x = 114,976.01
  5. Step 5: Solve for x
    x = 114,976.01/297.18
  6. Step 6: Final answer
    x = 386.89

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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.