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Finding the Fourth Proportional to 235.39, 324.77 and 137.11

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Solution

The fourth proportional to 235.39, 324.77 and 137.11 is: 189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.39 : 324.77 = 137.11 : x
  2. Step 2: Convert to fraction form
    235.39/324.77 = 137.11/x
  3. Step 3: Cross multiply
    235.39x = 324.77 × 137.11
  4. Step 4: Simplify right side
    235.39x = 44,529.21
  5. Step 5: Solve for x
    x = 44,529.21/235.39
  6. Step 6: Final answer
    x = 189.17

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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.