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Finding the Fourth Proportional to 5.13, 7.69 and 2.28

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Solution

The fourth proportional to 5.13, 7.69 and 2.28 is: 3.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.13 : 7.69 = 2.28 : x
  2. Step 2: Convert to fraction form
    5.13/7.69 = 2.28/x
  3. Step 3: Cross multiply
    5.13x = 7.69 × 2.28
  4. Step 4: Simplify right side
    5.13x = 17.50
  5. Step 5: Solve for x
    x = 17.50/5.13
  6. Step 6: Final answer
    x = 3.41

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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.