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Finding the Fourth Proportional to 393.21, 542.18 and 253.34

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Solution

The fourth proportional to 393.21, 542.18 and 253.34 is: 349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.21 : 542.18 = 253.34 : x
  2. Step 2: Convert to fraction form
    393.21/542.18 = 253.34/x
  3. Step 3: Cross multiply
    393.21x = 542.18 × 253.34
  4. Step 4: Simplify right side
    393.21x = 137,351.90
  5. Step 5: Solve for x
    x = 137,351.90/393.21
  6. Step 6: Final answer
    x = 349.31

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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.