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Finding the Fourth Proportional to 268.66, 400.15 and 265.06

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Solution

The fourth proportional to 268.66, 400.15 and 265.06 is: 394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.66 : 400.15 = 265.06 : x
  2. Step 2: Convert to fraction form
    268.66/400.15 = 265.06/x
  3. Step 3: Cross multiply
    268.66x = 400.15 × 265.06
  4. Step 4: Simplify right side
    268.66x = 106,063.76
  5. Step 5: Solve for x
    x = 106,063.76/268.66
  6. Step 6: Final answer
    x = 394.79

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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.