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Finding the Fourth Proportional to 472.98, 709.94 and 199.22

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Solution

The fourth proportional to 472.98, 709.94 and 199.22 is: 299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.98 : 709.94 = 199.22 : x
  2. Step 2: Convert to fraction form
    472.98/709.94 = 199.22/x
  3. Step 3: Cross multiply
    472.98x = 709.94 × 199.22
  4. Step 4: Simplify right side
    472.98x = 141,434.25
  5. Step 5: Solve for x
    x = 141,434.25/472.98
  6. Step 6: Final answer
    x = 299.03

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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.