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Finding the Fourth Proportional to 209.13, 313.31 and 135.84

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Solution

The fourth proportional to 209.13, 313.31 and 135.84 is: 203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.13 : 313.31 = 135.84 : x
  2. Step 2: Convert to fraction form
    209.13/313.31 = 135.84/x
  3. Step 3: Cross multiply
    209.13x = 313.31 × 135.84
  4. Step 4: Simplify right side
    209.13x = 42,560.03
  5. Step 5: Solve for x
    x = 42,560.03/209.13
  6. Step 6: Final answer
    x = 203.51

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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.