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Finding the Fourth Proportional to 52.45, 71.96 and 49.75

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Solution

The fourth proportional to 52.45, 71.96 and 49.75 is: 68.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.45 : 71.96 = 49.75 : x
  2. Step 2: Convert to fraction form
    52.45/71.96 = 49.75/x
  3. Step 3: Cross multiply
    52.45x = 71.96 × 49.75
  4. Step 4: Simplify right side
    52.45x = 3,579.58
  5. Step 5: Solve for x
    x = 3,579.58/52.45
  6. Step 6: Final answer
    x = 68.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.