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Finding the Fourth Proportional to 472.43, 708.89 and 194.99

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Solution

The fourth proportional to 472.43, 708.89 and 194.99 is: 292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.43 : 708.89 = 194.99 : x
  2. Step 2: Convert to fraction form
    472.43/708.89 = 194.99/x
  3. Step 3: Cross multiply
    472.43x = 708.89 × 194.99
  4. Step 4: Simplify right side
    472.43x = 138,225.97
  5. Step 5: Solve for x
    x = 138,225.97/472.43
  6. Step 6: Final answer
    x = 292.59

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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.