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Finding the Fourth Proportional to 296.40, 441.76 and 287.76

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Solution

The fourth proportional to 296.40, 441.76 and 287.76 is: 428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.40 : 441.76 = 287.76 : x
  2. Step 2: Convert to fraction form
    296.40/441.76 = 287.76/x
  3. Step 3: Cross multiply
    296.40x = 441.76 × 287.76
  4. Step 4: Simplify right side
    296.40x = 127,120.86
  5. Step 5: Solve for x
    x = 127,120.86/296.40
  6. Step 6: Final answer
    x = 428.88

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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.