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Finding the Fourth Proportional to 294.16, 408.67 and 291.49

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Solution

The fourth proportional to 294.16, 408.67 and 291.49 is: 404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.16 : 408.67 = 291.49 : x
  2. Step 2: Convert to fraction form
    294.16/408.67 = 291.49/x
  3. Step 3: Cross multiply
    294.16x = 408.67 × 291.49
  4. Step 4: Simplify right side
    294.16x = 119,122.20
  5. Step 5: Solve for x
    x = 119,122.20/294.16
  6. Step 6: Final answer
    x = 404.95

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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.