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Finding the Fourth Proportional to 7.40, 10.22 and 5.11

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Solution

The fourth proportional to 7.40, 10.22 and 5.11 is: 7.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.40 : 10.22 = 5.11 : x
  2. Step 2: Convert to fraction form
    7.40/10.22 = 5.11/x
  3. Step 3: Cross multiply
    7.40x = 10.22 × 5.11
  4. Step 4: Simplify right side
    7.40x = 52.17
  5. Step 5: Solve for x
    x = 52.17/7.40
  6. Step 6: Final answer
    x = 7.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.