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Finding the Fourth Proportional to 39.69, 59.46 and 19.37

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Solution

The fourth proportional to 39.69, 59.46 and 19.37 is: 29.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.69 : 59.46 = 19.37 : x
  2. Step 2: Convert to fraction form
    39.69/59.46 = 19.37/x
  3. Step 3: Cross multiply
    39.69x = 59.46 × 19.37
  4. Step 4: Simplify right side
    39.69x = 1,151.44
  5. Step 5: Solve for x
    x = 1,151.44/39.69
  6. Step 6: Final answer
    x = 29.01

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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.