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Finding the Fourth Proportional to 55.25, 76.25 and 32.25

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Solution

The fourth proportional to 55.25, 76.25 and 32.25 is: 44.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.25 : 76.25 = 32.25 : x
  2. Step 2: Convert to fraction form
    55.25/76.25 = 32.25/x
  3. Step 3: Cross multiply
    55.25x = 76.25 × 32.25
  4. Step 4: Simplify right side
    55.25x = 2,458.90
  5. Step 5: Solve for x
    x = 2,458.90/55.25
  6. Step 6: Final answer
    x = 44.51

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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.