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Finding the Fourth Proportional to 196.87, 295.02 and 147.90

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Solution

The fourth proportional to 196.87, 295.02 and 147.90 is: 221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.87 : 295.02 = 147.90 : x
  2. Step 2: Convert to fraction form
    196.87/295.02 = 147.90/x
  3. Step 3: Cross multiply
    196.87x = 295.02 × 147.90
  4. Step 4: Simplify right side
    196.87x = 43,633.46
  5. Step 5: Solve for x
    x = 43,633.46/196.87
  6. Step 6: Final answer
    x = 221.64

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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.