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Finding the Fourth Proportional to 268.43, 402.26 and 158.77

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Solution

The fourth proportional to 268.43, 402.26 and 158.77 is: 237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.43 : 402.26 = 158.77 : x
  2. Step 2: Convert to fraction form
    268.43/402.26 = 158.77/x
  3. Step 3: Cross multiply
    268.43x = 402.26 × 158.77
  4. Step 4: Simplify right side
    268.43x = 63,864.02
  5. Step 5: Solve for x
    x = 63,864.02/268.43
  6. Step 6: Final answer
    x = 237.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.