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Finding the Fourth Proportional to 51.12, 76.45 and 38.25

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Solution

The fourth proportional to 51.12, 76.45 and 38.25 is: 57.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.12 : 76.45 = 38.25 : x
  2. Step 2: Convert to fraction form
    51.12/76.45 = 38.25/x
  3. Step 3: Cross multiply
    51.12x = 76.45 × 38.25
  4. Step 4: Simplify right side
    51.12x = 2,924.21
  5. Step 5: Solve for x
    x = 2,924.21/51.12
  6. Step 6: Final answer
    x = 57.20

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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.