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Finding the Fourth Proportional to 279.31, 418.68 and 94.08

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Solution

The fourth proportional to 279.31, 418.68 and 94.08 is: 141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.31 : 418.68 = 94.08 : x
  2. Step 2: Convert to fraction form
    279.31/418.68 = 94.08/x
  3. Step 3: Cross multiply
    279.31x = 418.68 × 94.08
  4. Step 4: Simplify right side
    279.31x = 39,386.85
  5. Step 5: Solve for x
    x = 39,386.85/279.31
  6. Step 6: Final answer
    x = 141.02

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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.