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Finding the Fourth Proportional to 414.06, 571.50 and 266.85

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Solution

The fourth proportional to 414.06, 571.50 and 266.85 is: 368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.06 : 571.50 = 266.85 : x
  2. Step 2: Convert to fraction form
    414.06/571.50 = 266.85/x
  3. Step 3: Cross multiply
    414.06x = 571.50 × 266.85
  4. Step 4: Simplify right side
    414.06x = 152,504.78
  5. Step 5: Solve for x
    x = 152,504.78/414.06
  6. Step 6: Final answer
    x = 368.32

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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.