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Finding the Fourth Proportional to 398.18, 549.42 and 267.22

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Solution

The fourth proportional to 398.18, 549.42 and 267.22 is: 368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.18 : 549.42 = 267.22 : x
  2. Step 2: Convert to fraction form
    398.18/549.42 = 267.22/x
  3. Step 3: Cross multiply
    398.18x = 549.42 × 267.22
  4. Step 4: Simplify right side
    398.18x = 146,816.01
  5. Step 5: Solve for x
    x = 146,816.01/398.18
  6. Step 6: Final answer
    x = 368.72

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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.