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Finding the Fourth Proportional to 130.22, 195.16 and 78.88

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Solution

The fourth proportional to 130.22, 195.16 and 78.88 is: 118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.22 : 195.16 = 78.88 : x
  2. Step 2: Convert to fraction form
    130.22/195.16 = 78.88/x
  3. Step 3: Cross multiply
    130.22x = 195.16 × 78.88
  4. Step 4: Simplify right side
    130.22x = 15,394.22
  5. Step 5: Solve for x
    x = 15,394.22/130.22
  6. Step 6: Final answer
    x = 118.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.