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Finding the Fourth Proportional to 5.49, 7.62 and 5.27

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Solution

The fourth proportional to 5.49, 7.62 and 5.27 is: 7.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.49 : 7.62 = 5.27 : x
  2. Step 2: Convert to fraction form
    5.49/7.62 = 5.27/x
  3. Step 3: Cross multiply
    5.49x = 7.62 × 5.27
  4. Step 4: Simplify right side
    5.49x = 40.16
  5. Step 5: Solve for x
    x = 40.16/5.49
  6. Step 6: Final answer
    x = 7.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.