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Finding the Fourth Proportional to 12.16, 16.78 and 7.31

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Solution

The fourth proportional to 12.16, 16.78 and 7.31 is: 10.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.16 : 16.78 = 7.31 : x
  2. Step 2: Convert to fraction form
    12.16/16.78 = 7.31/x
  3. Step 3: Cross multiply
    12.16x = 16.78 × 7.31
  4. Step 4: Simplify right side
    12.16x = 122.60
  5. Step 5: Solve for x
    x = 122.60/12.16
  6. Step 6: Final answer
    x = 10.08

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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.