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Finding the Fourth Proportional to 49.56, 74.36 and 20.70

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Solution

The fourth proportional to 49.56, 74.36 and 20.70 is: 31.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.56 : 74.36 = 20.70 : x
  2. Step 2: Convert to fraction form
    49.56/74.36 = 20.70/x
  3. Step 3: Cross multiply
    49.56x = 74.36 × 20.70
  4. Step 4: Simplify right side
    49.56x = 1,539.15
  5. Step 5: Solve for x
    x = 1,539.15/49.56
  6. Step 6: Final answer
    x = 31.06

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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.