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Finding the Fourth Proportional to 878.82, 1,318.23 and 229.50

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Solution

The fourth proportional to 878.82, 1,318.23 and 229.50 is: 344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.82 : 1,318.23 = 229.50 : x
  2. Step 2: Convert to fraction form
    878.82/1,318.23 = 229.50/x
  3. Step 3: Cross multiply
    878.82x = 1,318.23 × 229.50
  4. Step 4: Simplify right side
    878.82x = 302,533.79
  5. Step 5: Solve for x
    x = 302,533.79/878.82
  6. Step 6: Final answer
    x = 344.25

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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.