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Finding the Fourth Proportional to 414.84, 621.72 and 268.55

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Solution

The fourth proportional to 414.84, 621.72 and 268.55 is: 402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 621.72 = 268.55 : x
  2. Step 2: Convert to fraction form
    414.84/621.72 = 268.55/x
  3. Step 3: Cross multiply
    414.84x = 621.72 × 268.55
  4. Step 4: Simplify right side
    414.84x = 166,959.80
  5. Step 5: Solve for x
    x = 166,959.80/414.84
  6. Step 6: Final answer
    x = 402.47

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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.