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Finding the Fourth Proportional to 470.78, 706.31 and 196.89

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Solution

The fourth proportional to 470.78, 706.31 and 196.89 is: 295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.78 : 706.31 = 196.89 : x
  2. Step 2: Convert to fraction form
    470.78/706.31 = 196.89/x
  3. Step 3: Cross multiply
    470.78x = 706.31 × 196.89
  4. Step 4: Simplify right side
    470.78x = 139,065.38
  5. Step 5: Solve for x
    x = 139,065.38/470.78
  6. Step 6: Final answer
    x = 295.39

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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.