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Finding the Fourth Proportional to 195.42, 293.13 and 78.28

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Solution

The fourth proportional to 195.42, 293.13 and 78.28 is: 117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.42 : 293.13 = 78.28 : x
  2. Step 2: Convert to fraction form
    195.42/293.13 = 78.28/x
  3. Step 3: Cross multiply
    195.42x = 293.13 × 78.28
  4. Step 4: Simplify right side
    195.42x = 22,946.22
  5. Step 5: Solve for x
    x = 22,946.22/195.42
  6. Step 6: Final answer
    x = 117.42

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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.