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Finding the Fourth Proportional to 472.24, 707.76 and 198

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Solution

The fourth proportional to 472.24, 707.76 and 198 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.24 : 707.76 = 198 : x
  2. Step 2: Convert to fraction form
    472.24/707.76 = 198/x
  3. Step 3: Cross multiply
    472.24x = 707.76 × 198
  4. Step 4: Simplify right side
    472.24x = 140,136.48
  5. Step 5: Solve for x
    x = 140,136.48/472.24
  6. Step 6: Final answer
    x = 296.75

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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.