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Finding the Fourth Proportional to 196.66, 294.65 and 145.43

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Solution

The fourth proportional to 196.66, 294.65 and 145.43 is: 217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.66 : 294.65 = 145.43 : x
  2. Step 2: Convert to fraction form
    196.66/294.65 = 145.43/x
  3. Step 3: Cross multiply
    196.66x = 294.65 × 145.43
  4. Step 4: Simplify right side
    196.66x = 42,848.75
  5. Step 5: Solve for x
    x = 42,848.75/196.66
  6. Step 6: Final answer
    x = 217.89

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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.