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Finding the Fourth Proportional to 333.45, 500.15 and 138.40

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Solution

The fourth proportional to 333.45, 500.15 and 138.40 is: 207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.45 : 500.15 = 138.40 : x
  2. Step 2: Convert to fraction form
    333.45/500.15 = 138.40/x
  3. Step 3: Cross multiply
    333.45x = 500.15 × 138.40
  4. Step 4: Simplify right side
    333.45x = 69,219.86
  5. Step 5: Solve for x
    x = 69,219.86/333.45
  6. Step 6: Final answer
    x = 207.59

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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.