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Finding the Fourth Proportional to 94.45, 130.25 and 78.05

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Solution

The fourth proportional to 94.45, 130.25 and 78.05 is: 107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.45 : 130.25 = 78.05 : x
  2. Step 2: Convert to fraction form
    94.45/130.25 = 78.05/x
  3. Step 3: Cross multiply
    94.45x = 130.25 × 78.05
  4. Step 4: Simplify right side
    94.45x = 10,165.56
  5. Step 5: Solve for x
    x = 10,165.56/94.45
  6. Step 6: Final answer
    x = 107.63

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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.