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Finding the Fourth Proportional to 268.16, 402.39 and 165.70

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Solution

The fourth proportional to 268.16, 402.39 and 165.70 is: 248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.16 : 402.39 = 165.70 : x
  2. Step 2: Convert to fraction form
    268.16/402.39 = 165.70/x
  3. Step 3: Cross multiply
    268.16x = 402.39 × 165.70
  4. Step 4: Simplify right side
    268.16x = 66,675.02
  5. Step 5: Solve for x
    x = 66,675.02/268.16
  6. Step 6: Final answer
    x = 248.64

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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.