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Finding the Fourth Proportional to 94.98, 130.80 and 84.03

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Solution

The fourth proportional to 94.98, 130.80 and 84.03 is: 115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.98 : 130.80 = 84.03 : x
  2. Step 2: Convert to fraction form
    94.98/130.80 = 84.03/x
  3. Step 3: Cross multiply
    94.98x = 130.80 × 84.03
  4. Step 4: Simplify right side
    94.98x = 10,991.12
  5. Step 5: Solve for x
    x = 10,991.12/94.98
  6. Step 6: Final answer
    x = 115.72

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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.