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Finding the Fourth Proportional to 8.38, 11.53 and 7.16

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Solution

The fourth proportional to 8.38, 11.53 and 7.16 is: 9.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.38 : 11.53 = 7.16 : x
  2. Step 2: Convert to fraction form
    8.38/11.53 = 7.16/x
  3. Step 3: Cross multiply
    8.38x = 11.53 × 7.16
  4. Step 4: Simplify right side
    8.38x = 82.55
  5. Step 5: Solve for x
    x = 82.55/8.38
  6. Step 6: Final answer
    x = 9.85

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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.