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Finding the Fourth Proportional to 268.67, 402.70 and 265.63

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Solution

The fourth proportional to 268.67, 402.70 and 265.63 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.67 : 402.70 = 265.63 : x
  2. Step 2: Convert to fraction form
    268.67/402.70 = 265.63/x
  3. Step 3: Cross multiply
    268.67x = 402.70 × 265.63
  4. Step 4: Simplify right side
    268.67x = 106,969.20
  5. Step 5: Solve for x
    x = 106,969.20/268.67
  6. Step 6: Final answer
    x = 398.14

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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.