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Finding the Fourth Proportional to 52.89, 72.89 and 41.21

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Solution

The fourth proportional to 52.89, 72.89 and 41.21 is: 56.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.89 : 72.89 = 41.21 : x
  2. Step 2: Convert to fraction form
    52.89/72.89 = 41.21/x
  3. Step 3: Cross multiply
    52.89x = 72.89 × 41.21
  4. Step 4: Simplify right side
    52.89x = 3,003.59
  5. Step 5: Solve for x
    x = 3,003.59/52.89
  6. Step 6: Final answer
    x = 56.79

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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.