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Finding the Fourth Proportional to 209.32, 311.87 and 201.47

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Solution

The fourth proportional to 209.32, 311.87 and 201.47 is: 300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 311.87 = 201.47 : x
  2. Step 2: Convert to fraction form
    209.32/311.87 = 201.47/x
  3. Step 3: Cross multiply
    209.32x = 311.87 × 201.47
  4. Step 4: Simplify right side
    209.32x = 62,831.39
  5. Step 5: Solve for x
    x = 62,831.39/209.32
  6. Step 6: Final answer
    x = 300.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.