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Finding the Fourth Proportional to 52.72, 72.78 and 41.82

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Solution

The fourth proportional to 52.72, 72.78 and 41.82 is: 57.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.72 : 72.78 = 41.82 : x
  2. Step 2: Convert to fraction form
    52.72/72.78 = 41.82/x
  3. Step 3: Cross multiply
    52.72x = 72.78 × 41.82
  4. Step 4: Simplify right side
    52.72x = 3,043.66
  5. Step 5: Solve for x
    x = 3,043.66/52.72
  6. Step 6: Final answer
    x = 57.73

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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.