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Finding the Fourth Proportional to 195.80, 292.88 and 147.20

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Solution

The fourth proportional to 195.80, 292.88 and 147.20 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.80 : 292.88 = 147.20 : x
  2. Step 2: Convert to fraction form
    195.80/292.88 = 147.20/x
  3. Step 3: Cross multiply
    195.80x = 292.88 × 147.20
  4. Step 4: Simplify right side
    195.80x = 43,110.84
  5. Step 5: Solve for x
    x = 43,110.84/195.80
  6. Step 6: Final answer
    x = 220.18

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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.