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Finding the Fourth Proportional to 243.77, 363.92 and 235.23

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Solution

The fourth proportional to 243.77, 363.92 and 235.23 is: 351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.77 : 363.92 = 235.23 : x
  2. Step 2: Convert to fraction form
    243.77/363.92 = 235.23/x
  3. Step 3: Cross multiply
    243.77x = 363.92 × 235.23
  4. Step 4: Simplify right side
    243.77x = 85,603.08
  5. Step 5: Solve for x
    x = 85,603.08/243.77
  6. Step 6: Final answer
    x = 351.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.