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Finding the Fourth Proportional to 51.05, 76.54 and 32.78

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Solution

The fourth proportional to 51.05, 76.54 and 32.78 is: 49.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 76.54 = 32.78 : x
  2. Step 2: Convert to fraction form
    51.05/76.54 = 32.78/x
  3. Step 3: Cross multiply
    51.05x = 76.54 × 32.78
  4. Step 4: Simplify right side
    51.05x = 2,508.82
  5. Step 5: Solve for x
    x = 2,508.82/51.05
  6. Step 6: Final answer
    x = 49.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.