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Finding the Fourth Proportional to 294.94, 442.72 and 227.21

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Solution

The fourth proportional to 294.94, 442.72 and 227.21 is: 341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.94 : 442.72 = 227.21 : x
  2. Step 2: Convert to fraction form
    294.94/442.72 = 227.21/x
  3. Step 3: Cross multiply
    294.94x = 442.72 × 227.21
  4. Step 4: Simplify right side
    294.94x = 100,587.20
  5. Step 5: Solve for x
    x = 100,587.20/294.94
  6. Step 6: Final answer
    x = 341.04

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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.