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Finding the Fourth Proportional to 296.71, 445.28 and 278.78

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Solution

The fourth proportional to 296.71, 445.28 and 278.78 is: 418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.71 : 445.28 = 278.78 : x
  2. Step 2: Convert to fraction form
    296.71/445.28 = 278.78/x
  3. Step 3: Cross multiply
    296.71x = 445.28 × 278.78
  4. Step 4: Simplify right side
    296.71x = 124,135.16
  5. Step 5: Solve for x
    x = 124,135.16/296.71
  6. Step 6: Final answer
    x = 418.37

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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.