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Finding the Fourth Proportional to 294.49, 439.61 and 252.91

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Solution

The fourth proportional to 294.49, 439.61 and 252.91 is: 377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.49 : 439.61 = 252.91 : x
  2. Step 2: Convert to fraction form
    294.49/439.61 = 252.91/x
  3. Step 3: Cross multiply
    294.49x = 439.61 × 252.91
  4. Step 4: Simplify right side
    294.49x = 111,181.77
  5. Step 5: Solve for x
    x = 111,181.77/294.49
  6. Step 6: Final answer
    x = 377.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.