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Finding the Fourth Proportional to 252.81, 378.75 and 144.69

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Solution

The fourth proportional to 252.81, 378.75 and 144.69 is: 216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.81 : 378.75 = 144.69 : x
  2. Step 2: Convert to fraction form
    252.81/378.75 = 144.69/x
  3. Step 3: Cross multiply
    252.81x = 378.75 × 144.69
  4. Step 4: Simplify right side
    252.81x = 54,801.34
  5. Step 5: Solve for x
    x = 54,801.34/252.81
  6. Step 6: Final answer
    x = 216.77

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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.