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Finding the Fourth Proportional to 333.92, 500.65 and 138.85

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Solution

The fourth proportional to 333.92, 500.65 and 138.85 is: 208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.92 : 500.65 = 138.85 : x
  2. Step 2: Convert to fraction form
    333.92/500.65 = 138.85/x
  3. Step 3: Cross multiply
    333.92x = 500.65 × 138.85
  4. Step 4: Simplify right side
    333.92x = 69,513.65
  5. Step 5: Solve for x
    x = 69,513.65/333.92
  6. Step 6: Final answer
    x = 208.17

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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.