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Finding the Fourth Proportional to 393.50, 542.73 and 258.83

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Solution

The fourth proportional to 393.50, 542.73 and 258.83 is: 356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.50 : 542.73 = 258.83 : x
  2. Step 2: Convert to fraction form
    393.50/542.73 = 258.83/x
  3. Step 3: Cross multiply
    393.50x = 542.73 × 258.83
  4. Step 4: Simplify right side
    393.50x = 140,472.09
  5. Step 5: Solve for x
    x = 140,472.09/393.50
  6. Step 6: Final answer
    x = 356.99

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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.