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Finding the Fourth Proportional to 294.47, 405.96 and 252.83

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Solution

The fourth proportional to 294.47, 405.96 and 252.83 is: 348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.47 : 405.96 = 252.83 : x
  2. Step 2: Convert to fraction form
    294.47/405.96 = 252.83/x
  3. Step 3: Cross multiply
    294.47x = 405.96 × 252.83
  4. Step 4: Simplify right side
    294.47x = 102,638.87
  5. Step 5: Solve for x
    x = 102,638.87/294.47
  6. Step 6: Final answer
    x = 348.55

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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.