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Finding the Fourth Proportional to 195.10, 292.45 and 79.53

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Solution

The fourth proportional to 195.10, 292.45 and 79.53 is: 119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.10 : 292.45 = 79.53 : x
  2. Step 2: Convert to fraction form
    195.10/292.45 = 79.53/x
  3. Step 3: Cross multiply
    195.10x = 292.45 × 79.53
  4. Step 4: Simplify right side
    195.10x = 23,258.55
  5. Step 5: Solve for x
    x = 23,258.55/195.10
  6. Step 6: Final answer
    x = 119.21

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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.