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Finding the Fourth Proportional to 333.62, 499.40 and 268.01

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Solution

The fourth proportional to 333.62, 499.40 and 268.01 is: 401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.62 : 499.40 = 268.01 : x
  2. Step 2: Convert to fraction form
    333.62/499.40 = 268.01/x
  3. Step 3: Cross multiply
    333.62x = 499.40 × 268.01
  4. Step 4: Simplify right side
    333.62x = 133,843.23
  5. Step 5: Solve for x
    x = 133,843.23/333.62
  6. Step 6: Final answer
    x = 401.19

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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.