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Finding the Fourth Proportional to 60.27, 90.42 and 19.69

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Solution

The fourth proportional to 60.27, 90.42 and 19.69 is: 29.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.27 : 90.42 = 19.69 : x
  2. Step 2: Convert to fraction form
    60.27/90.42 = 19.69/x
  3. Step 3: Cross multiply
    60.27x = 90.42 × 19.69
  4. Step 4: Simplify right side
    60.27x = 1,780.37
  5. Step 5: Solve for x
    x = 1,780.37/60.27
  6. Step 6: Final answer
    x = 29.54

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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.