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Finding the Fourth Proportional to 401.40, 548.19 and 397.08

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Solution

The fourth proportional to 401.40, 548.19 and 397.08 is: 542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.40 : 548.19 = 397.08 : x
  2. Step 2: Convert to fraction form
    401.40/548.19 = 397.08/x
  3. Step 3: Cross multiply
    401.40x = 548.19 × 397.08
  4. Step 4: Simplify right side
    401.40x = 217,675.29
  5. Step 5: Solve for x
    x = 217,675.29/401.40
  6. Step 6: Final answer
    x = 542.29

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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.