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Finding the Fourth Proportional to 52.98, 73.11 and 36.61

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Solution

The fourth proportional to 52.98, 73.11 and 36.61 is: 50.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.98 : 73.11 = 36.61 : x
  2. Step 2: Convert to fraction form
    52.98/73.11 = 36.61/x
  3. Step 3: Cross multiply
    52.98x = 73.11 × 36.61
  4. Step 4: Simplify right side
    52.98x = 2,676.01
  5. Step 5: Solve for x
    x = 2,676.01/52.98
  6. Step 6: Final answer
    x = 50.51

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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.