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Finding the Fourth Proportional to 878.90, 1,318.32 and 229.62

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Solution

The fourth proportional to 878.90, 1,318.32 and 229.62 is: 344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.90 : 1,318.32 = 229.62 : x
  2. Step 2: Convert to fraction form
    878.90/1,318.32 = 229.62/x
  3. Step 3: Cross multiply
    878.90x = 1,318.32 × 229.62
  4. Step 4: Simplify right side
    878.90x = 302,712.64
  5. Step 5: Solve for x
    x = 302,712.64/878.90
  6. Step 6: Final answer
    x = 344.42

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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.