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Finding the Fourth Proportional to 94.31, 130.16 and 80.49

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Solution

The fourth proportional to 94.31, 130.16 and 80.49 is: 111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.31 : 130.16 = 80.49 : x
  2. Step 2: Convert to fraction form
    94.31/130.16 = 80.49/x
  3. Step 3: Cross multiply
    94.31x = 130.16 × 80.49
  4. Step 4: Simplify right side
    94.31x = 10,476.81
  5. Step 5: Solve for x
    x = 10,476.81/94.31
  6. Step 6: Final answer
    x = 111.08

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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.