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Finding the Fourth Proportional to 472.29, 708.53 and 198.22

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Solution

The fourth proportional to 472.29, 708.53 and 198.22 is: 297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.29 : 708.53 = 198.22 : x
  2. Step 2: Convert to fraction form
    472.29/708.53 = 198.22/x
  3. Step 3: Cross multiply
    472.29x = 708.53 × 198.22
  4. Step 4: Simplify right side
    472.29x = 140,440.28
  5. Step 5: Solve for x
    x = 140,440.28/472.29
  6. Step 6: Final answer
    x = 297.36

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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.