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Finding the Fourth Proportional to 393.24, 542.68 and 225.22

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Solution

The fourth proportional to 393.24, 542.68 and 225.22 is: 310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.24 : 542.68 = 225.22 : x
  2. Step 2: Convert to fraction form
    393.24/542.68 = 225.22/x
  3. Step 3: Cross multiply
    393.24x = 542.68 × 225.22
  4. Step 4: Simplify right side
    393.24x = 122,219.68
  5. Step 5: Solve for x
    x = 122,219.68/393.24
  6. Step 6: Final answer
    x = 310.81

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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.