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Finding the Fourth Proportional to 175.68, 262.80 and 137.28

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Solution

The fourth proportional to 175.68, 262.80 and 137.28 is: 205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.68 : 262.80 = 137.28 : x
  2. Step 2: Convert to fraction form
    175.68/262.80 = 137.28/x
  3. Step 3: Cross multiply
    175.68x = 262.80 × 137.28
  4. Step 4: Simplify right side
    175.68x = 36,077.18
  5. Step 5: Solve for x
    x = 36,077.18/175.68
  6. Step 6: Final answer
    x = 205.36

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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.