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Finding the Fourth Proportional to 19.38, 26.52 and 19.20

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Solution

The fourth proportional to 19.38, 26.52 and 19.20 is: 26.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.38 : 26.52 = 19.20 : x
  2. Step 2: Convert to fraction form
    19.38/26.52 = 19.20/x
  3. Step 3: Cross multiply
    19.38x = 26.52 × 19.20
  4. Step 4: Simplify right side
    19.38x = 509.18
  5. Step 5: Solve for x
    x = 509.18/19.38
  6. Step 6: Final answer
    x = 26.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.