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Finding the Fourth Proportional to 209.05, 288.27 and 146.86

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Solution

The fourth proportional to 209.05, 288.27 and 146.86 is: 202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 288.27 = 146.86 : x
  2. Step 2: Convert to fraction form
    209.05/288.27 = 146.86/x
  3. Step 3: Cross multiply
    209.05x = 288.27 × 146.86
  4. Step 4: Simplify right side
    209.05x = 42,335.33
  5. Step 5: Solve for x
    x = 42,335.33/209.05
  6. Step 6: Final answer
    x = 202.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.