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Finding the Fourth Proportional to 414.61, 571.19 and 266.99

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Solution

The fourth proportional to 414.61, 571.19 and 266.99 is: 367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.61 : 571.19 = 266.99 : x
  2. Step 2: Convert to fraction form
    414.61/571.19 = 266.99/x
  3. Step 3: Cross multiply
    414.61x = 571.19 × 266.99
  4. Step 4: Simplify right side
    414.61x = 152,502.02
  5. Step 5: Solve for x
    x = 152,502.02/414.61
  6. Step 6: Final answer
    x = 367.82

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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.