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Finding the Fourth Proportional to 449.10, 676.71 and 369.72

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Solution

The fourth proportional to 449.10, 676.71 and 369.72 is: 557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.10 : 676.71 = 369.72 : x
  2. Step 2: Convert to fraction form
    449.10/676.71 = 369.72/x
  3. Step 3: Cross multiply
    449.10x = 676.71 × 369.72
  4. Step 4: Simplify right side
    449.10x = 250,193.22
  5. Step 5: Solve for x
    x = 250,193.22/449.10
  6. Step 6: Final answer
    x = 557.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.