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Finding the Fourth Proportional to 10.20, 15.38 and 10.20

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Solution

The fourth proportional to 10.20, 15.38 and 10.20 is: 15.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.20 : 15.38 = 10.20 : x
  2. Step 2: Convert to fraction form
    10.20/15.38 = 10.20/x
  3. Step 3: Cross multiply
    10.20x = 15.38 × 10.20
  4. Step 4: Simplify right side
    10.20x = 156.88
  5. Step 5: Solve for x
    x = 156.88/10.20
  6. Step 6: Final answer
    x = 15.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.