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Finding the Fourth Proportional to 449.34, 672.96 and 378.66

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Solution

The fourth proportional to 449.34, 672.96 and 378.66 is: 567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.34 : 672.96 = 378.66 : x
  2. Step 2: Convert to fraction form
    449.34/672.96 = 378.66/x
  3. Step 3: Cross multiply
    449.34x = 672.96 × 378.66
  4. Step 4: Simplify right side
    449.34x = 254,823.03
  5. Step 5: Solve for x
    x = 254,823.03/449.34
  6. Step 6: Final answer
    x = 567.11

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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.