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Finding the Fourth Proportional to 252.81, 378.93 and 137.31

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Solution

The fourth proportional to 252.81, 378.93 and 137.31 is: 205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.81 : 378.93 = 137.31 : x
  2. Step 2: Convert to fraction form
    252.81/378.93 = 137.31/x
  3. Step 3: Cross multiply
    252.81x = 378.93 × 137.31
  4. Step 4: Simplify right side
    252.81x = 52,030.88
  5. Step 5: Solve for x
    x = 52,030.88/252.81
  6. Step 6: Final answer
    x = 205.81

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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.