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Finding the Fourth Proportional to 333.10, 499.62 and 138.05

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Solution

The fourth proportional to 333.10, 499.62 and 138.05 is: 207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.10 : 499.62 = 138.05 : x
  2. Step 2: Convert to fraction form
    333.10/499.62 = 138.05/x
  3. Step 3: Cross multiply
    333.10x = 499.62 × 138.05
  4. Step 4: Simplify right side
    333.10x = 68,970.04
  5. Step 5: Solve for x
    x = 68,970.04/333.10
  6. Step 6: Final answer
    x = 207.06

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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.