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Finding the Fourth Proportional to 333.71, 500.49 and 138.50

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Solution

The fourth proportional to 333.71, 500.49 and 138.50 is: 207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.71 : 500.49 = 138.50 : x
  2. Step 2: Convert to fraction form
    333.71/500.49 = 138.50/x
  3. Step 3: Cross multiply
    333.71x = 500.49 × 138.50
  4. Step 4: Simplify right side
    333.71x = 69,317.87
  5. Step 5: Solve for x
    x = 69,317.87/333.71
  6. Step 6: Final answer
    x = 207.72

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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.