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Finding the Fourth Proportional to 400.67, 549.60 and 397.20

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Solution

The fourth proportional to 400.67, 549.60 and 397.20 is: 544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.67 : 549.60 = 397.20 : x
  2. Step 2: Convert to fraction form
    400.67/549.60 = 397.20/x
  3. Step 3: Cross multiply
    400.67x = 549.60 × 397.20
  4. Step 4: Simplify right side
    400.67x = 218,301.12
  5. Step 5: Solve for x
    x = 218,301.12/400.67
  6. Step 6: Final answer
    x = 544.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.