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Finding the Fourth Proportional to 268.25, 402.53 and 114.17

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Solution

The fourth proportional to 268.25, 402.53 and 114.17 is: 171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.25 : 402.53 = 114.17 : x
  2. Step 2: Convert to fraction form
    268.25/402.53 = 114.17/x
  3. Step 3: Cross multiply
    268.25x = 402.53 × 114.17
  4. Step 4: Simplify right side
    268.25x = 45,956.85
  5. Step 5: Solve for x
    x = 45,956.85/268.25
  6. Step 6: Final answer
    x = 171.32

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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.