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Finding the Fourth Proportional to 52.77, 72.75 and 41.88

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Solution

The fourth proportional to 52.77, 72.75 and 41.88 is: 57.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.77 : 72.75 = 41.88 : x
  2. Step 2: Convert to fraction form
    52.77/72.75 = 41.88/x
  3. Step 3: Cross multiply
    52.77x = 72.75 × 41.88
  4. Step 4: Simplify right side
    52.77x = 3,046.77
  5. Step 5: Solve for x
    x = 3,046.77/52.77
  6. Step 6: Final answer
    x = 57.74

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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.