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Finding the Fourth Proportional to 279.42, 417.14 and 231.18

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Solution

The fourth proportional to 279.42, 417.14 and 231.18 is: 345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.42 : 417.14 = 231.18 : x
  2. Step 2: Convert to fraction form
    279.42/417.14 = 231.18/x
  3. Step 3: Cross multiply
    279.42x = 417.14 × 231.18
  4. Step 4: Simplify right side
    279.42x = 96,433.27
  5. Step 5: Solve for x
    x = 96,433.27/279.42
  6. Step 6: Final answer
    x = 345.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.