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Finding the Fourth Proportional to 5.30, 7.96 and 1.92

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Solution

The fourth proportional to 5.30, 7.96 and 1.92 is: 2.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.30 : 7.96 = 1.92 : x
  2. Step 2: Convert to fraction form
    5.30/7.96 = 1.92/x
  3. Step 3: Cross multiply
    5.30x = 7.96 × 1.92
  4. Step 4: Simplify right side
    5.30x = 15.31
  5. Step 5: Solve for x
    x = 15.31/5.30
  6. Step 6: Final answer
    x = 2.89

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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.