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Finding the Fourth Proportional to 229.38, 317.14 and 219.18

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Solution

The fourth proportional to 229.38, 317.14 and 219.18 is: 303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.38 : 317.14 = 219.18 : x
  2. Step 2: Convert to fraction form
    229.38/317.14 = 219.18/x
  3. Step 3: Cross multiply
    229.38x = 317.14 × 219.18
  4. Step 4: Simplify right side
    229.38x = 69,508.61
  5. Step 5: Solve for x
    x = 69,508.61/229.38
  6. Step 6: Final answer
    x = 303.03

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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.