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Finding the Fourth Proportional to 393.60, 542.82 and 262.68

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Solution

The fourth proportional to 393.60, 542.82 and 262.68 is: 362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.60 : 542.82 = 262.68 : x
  2. Step 2: Convert to fraction form
    393.60/542.82 = 262.68/x
  3. Step 3: Cross multiply
    393.60x = 542.82 × 262.68
  4. Step 4: Simplify right side
    393.60x = 142,587.96
  5. Step 5: Solve for x
    x = 142,587.96/393.60
  6. Step 6: Final answer
    x = 362.27

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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.