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Finding the Fourth Proportional to 51.28, 70.75 and 33.82

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Solution

The fourth proportional to 51.28, 70.75 and 33.82 is: 46.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.28 : 70.75 = 33.82 : x
  2. Step 2: Convert to fraction form
    51.28/70.75 = 33.82/x
  3. Step 3: Cross multiply
    51.28x = 70.75 × 33.82
  4. Step 4: Simplify right side
    51.28x = 2,392.77
  5. Step 5: Solve for x
    x = 2,392.77/51.28
  6. Step 6: Final answer
    x = 46.66

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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.