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Finding the Fourth Proportional to 585.76, 878.34 and 200.92

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Solution

The fourth proportional to 585.76, 878.34 and 200.92 is: 301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.76 : 878.34 = 200.92 : x
  2. Step 2: Convert to fraction form
    585.76/878.34 = 200.92/x
  3. Step 3: Cross multiply
    585.76x = 878.34 × 200.92
  4. Step 4: Simplify right side
    585.76x = 176,476.07
  5. Step 5: Solve for x
    x = 176,476.07/585.76
  6. Step 6: Final answer
    x = 301.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.