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Finding the Fourth Proportional to 449.50, 671.38 and 380.24

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Solution

The fourth proportional to 449.50, 671.38 and 380.24 is: 567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.50 : 671.38 = 380.24 : x
  2. Step 2: Convert to fraction form
    449.50/671.38 = 380.24/x
  3. Step 3: Cross multiply
    449.50x = 671.38 × 380.24
  4. Step 4: Simplify right side
    449.50x = 255,285.53
  5. Step 5: Solve for x
    x = 255,285.53/449.50
  6. Step 6: Final answer
    x = 567.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.