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Finding the Fourth Proportional to 294.05, 404.10 and 285.86

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Solution

The fourth proportional to 294.05, 404.10 and 285.86 is: 392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.05 : 404.10 = 285.86 : x
  2. Step 2: Convert to fraction form
    294.05/404.10 = 285.86/x
  3. Step 3: Cross multiply
    294.05x = 404.10 × 285.86
  4. Step 4: Simplify right side
    294.05x = 115,517.04
  5. Step 5: Solve for x
    x = 115,517.04/294.05
  6. Step 6: Final answer
    x = 392.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.