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Finding the Fourth Proportional to 11.18, 15.45 and 8.45

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Solution

The fourth proportional to 11.18, 15.45 and 8.45 is: 11.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.18 : 15.45 = 8.45 : x
  2. Step 2: Convert to fraction form
    11.18/15.45 = 8.45/x
  3. Step 3: Cross multiply
    11.18x = 15.45 × 8.45
  4. Step 4: Simplify right side
    11.18x = 130.55
  5. Step 5: Solve for x
    x = 130.55/11.18
  6. Step 6: Final answer
    x = 11.68

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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.