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Finding the Fourth Proportional to 470.29, 705.45 and 196.39

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Solution

The fourth proportional to 470.29, 705.45 and 196.39 is: 294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.29 : 705.45 = 196.39 : x
  2. Step 2: Convert to fraction form
    470.29/705.45 = 196.39/x
  3. Step 3: Cross multiply
    470.29x = 705.45 × 196.39
  4. Step 4: Simplify right side
    470.29x = 138,543.33
  5. Step 5: Solve for x
    x = 138,543.33/470.29
  6. Step 6: Final answer
    x = 294.59

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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.