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Finding the Fourth Proportional to 8.56, 11.80 and 8.02

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Solution

The fourth proportional to 8.56, 11.80 and 8.02 is: 11.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.56 : 11.80 = 8.02 : x
  2. Step 2: Convert to fraction form
    8.56/11.80 = 8.02/x
  3. Step 3: Cross multiply
    8.56x = 11.80 × 8.02
  4. Step 4: Simplify right side
    8.56x = 94.64
  5. Step 5: Solve for x
    x = 94.64/8.56
  6. Step 6: Final answer
    x = 11.06

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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.