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Finding the Fourth Proportional to 6, 9.05 and 5.18

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Solution

The fourth proportional to 6, 9.05 and 5.18 is: 7.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 9.05 = 5.18 : x
  2. Step 2: Convert to fraction form
    6/9.05 = 5.18/x
  3. Step 3: Cross multiply
    6x = 9.05 × 5.18
  4. Step 4: Simplify right side
    6x = 46.81
  5. Step 5: Solve for x
    x = 46.81/6
  6. Step 6: Final answer
    x = 7.80

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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.