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Finding the Fourth Proportional to 19.42, 28.97 and 19.15

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Solution

The fourth proportional to 19.42, 28.97 and 19.15 is: 28.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.42 : 28.97 = 19.15 : x
  2. Step 2: Convert to fraction form
    19.42/28.97 = 19.15/x
  3. Step 3: Cross multiply
    19.42x = 28.97 × 19.15
  4. Step 4: Simplify right side
    19.42x = 554.78
  5. Step 5: Solve for x
    x = 554.78/19.42
  6. Step 6: Final answer
    x = 28.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.