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Finding the Fourth Proportional to 94.98, 130.98 and 76.50

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Solution

The fourth proportional to 94.98, 130.98 and 76.50 is: 105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.98 : 130.98 = 76.50 : x
  2. Step 2: Convert to fraction form
    94.98/130.98 = 76.50/x
  3. Step 3: Cross multiply
    94.98x = 130.98 × 76.50
  4. Step 4: Simplify right side
    94.98x = 10,019.97
  5. Step 5: Solve for x
    x = 10,019.97/94.98
  6. Step 6: Final answer
    x = 105.50

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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.