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Finding the Fourth Proportional to 393.24, 542.65 and 216.20

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Solution

The fourth proportional to 393.24, 542.65 and 216.20 is: 298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.24 : 542.65 = 216.20 : x
  2. Step 2: Convert to fraction form
    393.24/542.65 = 216.20/x
  3. Step 3: Cross multiply
    393.24x = 542.65 × 216.20
  4. Step 4: Simplify right side
    393.24x = 117,318.22
  5. Step 5: Solve for x
    x = 117,318.22/393.24
  6. Step 6: Final answer
    x = 298.34

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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.