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Finding the Fourth Proportional to 472.57, 709.05 and 198.72

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Solution

The fourth proportional to 472.57, 709.05 and 198.72 is: 298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.57 : 709.05 = 198.72 : x
  2. Step 2: Convert to fraction form
    472.57/709.05 = 198.72/x
  3. Step 3: Cross multiply
    472.57x = 709.05 × 198.72
  4. Step 4: Simplify right side
    472.57x = 140,903.16
  5. Step 5: Solve for x
    x = 140,903.16/472.57
  6. Step 6: Final answer
    x = 298.17

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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.