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Finding the Fourth Proportional to 279.38, 418.89 and 230.24

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Solution

The fourth proportional to 279.38, 418.89 and 230.24 is: 345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.38 : 418.89 = 230.24 : x
  2. Step 2: Convert to fraction form
    279.38/418.89 = 230.24/x
  3. Step 3: Cross multiply
    279.38x = 418.89 × 230.24
  4. Step 4: Simplify right side
    279.38x = 96,445.23
  5. Step 5: Solve for x
    x = 96,445.23/279.38
  6. Step 6: Final answer
    x = 345.21

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