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Finding the Fourth Proportional to 52.12, 78 and 44.62

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Solution

The fourth proportional to 52.12, 78 and 44.62 is: 66.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.12 : 78 = 44.62 : x
  2. Step 2: Convert to fraction form
    52.12/78 = 44.62/x
  3. Step 3: Cross multiply
    52.12x = 78 × 44.62
  4. Step 4: Simplify right side
    52.12x = 3,480.36
  5. Step 5: Solve for x
    x = 3,480.36/52.12
  6. Step 6: Final answer
    x = 66.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.