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Finding the Fourth Proportional to 296.20, 442.49 and 294.76

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Solution

The fourth proportional to 296.20, 442.49 and 294.76 is: 440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.20 : 442.49 = 294.76 : x
  2. Step 2: Convert to fraction form
    296.20/442.49 = 294.76/x
  3. Step 3: Cross multiply
    296.20x = 442.49 × 294.76
  4. Step 4: Simplify right side
    296.20x = 130,428.35
  5. Step 5: Solve for x
    x = 130,428.35/296.20
  6. Step 6: Final answer
    x = 440.34

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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.