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Finding the Fourth Proportional to 472.56, 709.35 and 198.84

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Solution

The fourth proportional to 472.56, 709.35 and 198.84 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 709.35 = 198.84 : x
  2. Step 2: Convert to fraction form
    472.56/709.35 = 198.84/x
  3. Step 3: Cross multiply
    472.56x = 709.35 × 198.84
  4. Step 4: Simplify right side
    472.56x = 141,047.15
  5. Step 5: Solve for x
    x = 141,047.15/472.56
  6. Step 6: Final answer
    x = 298.47

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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.