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Finding the Fourth Proportional to 74.67, 111.99 and 20.57

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Solution

The fourth proportional to 74.67, 111.99 and 20.57 is: 30.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.67 : 111.99 = 20.57 : x
  2. Step 2: Convert to fraction form
    74.67/111.99 = 20.57/x
  3. Step 3: Cross multiply
    74.67x = 111.99 × 20.57
  4. Step 4: Simplify right side
    74.67x = 2,303.00
  5. Step 5: Solve for x
    x = 2,303.00/74.67
  6. Step 6: Final answer
    x = 30.84

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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.