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Finding the Fourth Proportional to 414.35, 571.65 and 248.50

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Solution

The fourth proportional to 414.35, 571.65 and 248.50 is: 342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.35 : 571.65 = 248.50 : x
  2. Step 2: Convert to fraction form
    414.35/571.65 = 248.50/x
  3. Step 3: Cross multiply
    414.35x = 571.65 × 248.50
  4. Step 4: Simplify right side
    414.35x = 142,055.03
  5. Step 5: Solve for x
    x = 142,055.03/414.35
  6. Step 6: Final answer
    x = 342.84

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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.