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Finding the Fourth Proportional to 585.60, 878.88 and 201.12

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Solution

The fourth proportional to 585.60, 878.88 and 201.12 is: 301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 878.88 = 201.12 : x
  2. Step 2: Convert to fraction form
    585.60/878.88 = 201.12/x
  3. Step 3: Cross multiply
    585.60x = 878.88 × 201.12
  4. Step 4: Simplify right side
    585.60x = 176,760.35
  5. Step 5: Solve for x
    x = 176,760.35/585.60
  6. Step 6: Final answer
    x = 301.84

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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.