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Finding the Fourth Proportional to 294.30, 404.31 and 263.62

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Solution

The fourth proportional to 294.30, 404.31 and 263.62 is: 362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.30 : 404.31 = 263.62 : x
  2. Step 2: Convert to fraction form
    294.30/404.31 = 263.62/x
  3. Step 3: Cross multiply
    294.30x = 404.31 × 263.62
  4. Step 4: Simplify right side
    294.30x = 106,584.20
  5. Step 5: Solve for x
    x = 106,584.20/294.30
  6. Step 6: Final answer
    x = 362.16

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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.