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Finding the Fourth Proportional to 294.71, 442.28 and 276.78

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Solution

The fourth proportional to 294.71, 442.28 and 276.78 is: 415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.71 : 442.28 = 276.78 : x
  2. Step 2: Convert to fraction form
    294.71/442.28 = 276.78/x
  3. Step 3: Cross multiply
    294.71x = 442.28 × 276.78
  4. Step 4: Simplify right side
    294.71x = 122,412.87
  5. Step 5: Solve for x
    x = 122,412.87/294.71
  6. Step 6: Final answer
    x = 415.37

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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.