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Finding the Fourth Proportional to 269.66, 402.25 and 266.14

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Solution

The fourth proportional to 269.66, 402.25 and 266.14 is: 397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.66 : 402.25 = 266.14 : x
  2. Step 2: Convert to fraction form
    269.66/402.25 = 266.14/x
  3. Step 3: Cross multiply
    269.66x = 402.25 × 266.14
  4. Step 4: Simplify right side
    269.66x = 107,054.82
  5. Step 5: Solve for x
    x = 107,054.82/269.66
  6. Step 6: Final answer
    x = 397.00

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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.