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Finding the Fourth Proportional to 414.03, 571.12 and 266.61

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Solution

The fourth proportional to 414.03, 571.12 and 266.61 is: 367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.03 : 571.12 = 266.61 : x
  2. Step 2: Convert to fraction form
    414.03/571.12 = 266.61/x
  3. Step 3: Cross multiply
    414.03x = 571.12 × 266.61
  4. Step 4: Simplify right side
    414.03x = 152,267.78
  5. Step 5: Solve for x
    x = 152,267.78/414.03
  6. Step 6: Final answer
    x = 367.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.