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Finding the Fourth Proportional to 449.32, 619.78 and 274.72

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Solution

The fourth proportional to 449.32, 619.78 and 274.72 is: 378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.32 : 619.78 = 274.72 : x
  2. Step 2: Convert to fraction form
    449.32/619.78 = 274.72/x
  3. Step 3: Cross multiply
    449.32x = 619.78 × 274.72
  4. Step 4: Simplify right side
    449.32x = 170,265.96
  5. Step 5: Solve for x
    x = 170,265.96/449.32
  6. Step 6: Final answer
    x = 378.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.