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Finding the Fourth Proportional to 349.97, 524.97 and 144.54

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Solution

The fourth proportional to 349.97, 524.97 and 144.54 is: 216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.97 : 524.97 = 144.54 : x
  2. Step 2: Convert to fraction form
    349.97/524.97 = 144.54/x
  3. Step 3: Cross multiply
    349.97x = 524.97 × 144.54
  4. Step 4: Simplify right side
    349.97x = 75,879.16
  5. Step 5: Solve for x
    x = 75,879.16/349.97
  6. Step 6: Final answer
    x = 216.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.