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Finding the Fourth Proportional to 294.67, 408.51 and 279.07

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Solution

The fourth proportional to 294.67, 408.51 and 279.07 is: 386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.67 : 408.51 = 279.07 : x
  2. Step 2: Convert to fraction form
    294.67/408.51 = 279.07/x
  3. Step 3: Cross multiply
    294.67x = 408.51 × 279.07
  4. Step 4: Simplify right side
    294.67x = 114,002.89
  5. Step 5: Solve for x
    x = 114,002.89/294.67
  6. Step 6: Final answer
    x = 386.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.