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Finding the Fourth Proportional to 393.70, 542.52 and 306.22

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Solution

The fourth proportional to 393.70, 542.52 and 306.22 is: 421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.70 : 542.52 = 306.22 : x
  2. Step 2: Convert to fraction form
    393.70/542.52 = 306.22/x
  3. Step 3: Cross multiply
    393.70x = 542.52 × 306.22
  4. Step 4: Simplify right side
    393.70x = 166,130.47
  5. Step 5: Solve for x
    x = 166,130.47/393.70
  6. Step 6: Final answer
    x = 421.97

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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.