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Finding the Fourth Proportional to 196.32, 294.46 and 66.40

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Solution

The fourth proportional to 196.32, 294.46 and 66.40 is: 99.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.32 : 294.46 = 66.40 : x
  2. Step 2: Convert to fraction form
    196.32/294.46 = 66.40/x
  3. Step 3: Cross multiply
    196.32x = 294.46 × 66.40
  4. Step 4: Simplify right side
    196.32x = 19,552.14
  5. Step 5: Solve for x
    x = 19,552.14/196.32
  6. Step 6: Final answer
    x = 99.59

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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.