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Finding the Fourth Proportional to 393.20, 542.27 and 275.25

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Solution

The fourth proportional to 393.20, 542.27 and 275.25 is: 379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.20 : 542.27 = 275.25 : x
  2. Step 2: Convert to fraction form
    393.20/542.27 = 275.25/x
  3. Step 3: Cross multiply
    393.20x = 542.27 × 275.25
  4. Step 4: Simplify right side
    393.20x = 149,258.71
  5. Step 5: Solve for x
    x = 149,258.71/393.20
  6. Step 6: Final answer
    x = 379.60

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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.