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Finding the Fourth Proportional to 294.71, 442.83 and 251.65

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Solution

The fourth proportional to 294.71, 442.83 and 251.65 is: 378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.71 : 442.83 = 251.65 : x
  2. Step 2: Convert to fraction form
    294.71/442.83 = 251.65/x
  3. Step 3: Cross multiply
    294.71x = 442.83 × 251.65
  4. Step 4: Simplify right side
    294.71x = 111,438.17
  5. Step 5: Solve for x
    x = 111,438.17/294.71
  6. Step 6: Final answer
    x = 378.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.