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Finding the Fourth Proportional to 19.16, 28.34 and 19.16

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Solution

The fourth proportional to 19.16, 28.34 and 19.16 is: 28.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.16 : 28.34 = 19.16 : x
  2. Step 2: Convert to fraction form
    19.16/28.34 = 19.16/x
  3. Step 3: Cross multiply
    19.16x = 28.34 × 19.16
  4. Step 4: Simplify right side
    19.16x = 542.99
  5. Step 5: Solve for x
    x = 542.99/19.16
  6. Step 6: Final answer
    x = 28.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.