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Finding the Fourth Proportional to 49.82, 74.62 and 27.03

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Solution

The fourth proportional to 49.82, 74.62 and 27.03 is: 40.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.82 : 74.62 = 27.03 : x
  2. Step 2: Convert to fraction form
    49.82/74.62 = 27.03/x
  3. Step 3: Cross multiply
    49.82x = 74.62 × 27.03
  4. Step 4: Simplify right side
    49.82x = 2,017.29
  5. Step 5: Solve for x
    x = 2,017.29/49.82
  6. Step 6: Final answer
    x = 40.50

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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.