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Finding the Fourth Proportional to 294.46, 406.23 and 271.15

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Solution

The fourth proportional to 294.46, 406.23 and 271.15 is: 374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.46 : 406.23 = 271.15 : x
  2. Step 2: Convert to fraction form
    294.46/406.23 = 271.15/x
  3. Step 3: Cross multiply
    294.46x = 406.23 × 271.15
  4. Step 4: Simplify right side
    294.46x = 110,149.26
  5. Step 5: Solve for x
    x = 110,149.26/294.46
  6. Step 6: Final answer
    x = 374.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.