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Finding the Fourth Proportional to 279.67, 421.26 and 237.29

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Solution

The fourth proportional to 279.67, 421.26 and 237.29 is: 357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.67 : 421.26 = 237.29 : x
  2. Step 2: Convert to fraction form
    279.67/421.26 = 237.29/x
  3. Step 3: Cross multiply
    279.67x = 421.26 × 237.29
  4. Step 4: Simplify right side
    279.67x = 99,960.79
  5. Step 5: Solve for x
    x = 99,960.79/279.67
  6. Step 6: Final answer
    x = 357.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.