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Finding the Fourth Proportional to 414.46, 571.93 and 248.65

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Solution

The fourth proportional to 414.46, 571.93 and 248.65 is: 343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.46 : 571.93 = 248.65 : x
  2. Step 2: Convert to fraction form
    414.46/571.93 = 248.65/x
  3. Step 3: Cross multiply
    414.46x = 571.93 × 248.65
  4. Step 4: Simplify right side
    414.46x = 142,208.34
  5. Step 5: Solve for x
    x = 142,208.34/414.46
  6. Step 6: Final answer
    x = 343.12

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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.