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Finding the Fourth Proportional to 196.88, 295.65 and 148.13

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Solution

The fourth proportional to 196.88, 295.65 and 148.13 is: 222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.88 : 295.65 = 148.13 : x
  2. Step 2: Convert to fraction form
    196.88/295.65 = 148.13/x
  3. Step 3: Cross multiply
    196.88x = 295.65 × 148.13
  4. Step 4: Simplify right side
    196.88x = 43,794.63
  5. Step 5: Solve for x
    x = 43,794.63/196.88
  6. Step 6: Final answer
    x = 222.44

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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.