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Finding the Fourth Proportional to 39.79, 59.72 and 22.69

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Solution

The fourth proportional to 39.79, 59.72 and 22.69 is: 34.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.79 : 59.72 = 22.69 : x
  2. Step 2: Convert to fraction form
    39.79/59.72 = 22.69/x
  3. Step 3: Cross multiply
    39.79x = 59.72 × 22.69
  4. Step 4: Simplify right side
    39.79x = 1,355.05
  5. Step 5: Solve for x
    x = 1,355.05/39.79
  6. Step 6: Final answer
    x = 34.05

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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.