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Finding the Fourth Proportional to 333.39, 459.36 and 267.78

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Solution

The fourth proportional to 333.39, 459.36 and 267.78 is: 368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.39 : 459.36 = 267.78 : x
  2. Step 2: Convert to fraction form
    333.39/459.36 = 267.78/x
  3. Step 3: Cross multiply
    333.39x = 459.36 × 267.78
  4. Step 4: Simplify right side
    333.39x = 123,007.42
  5. Step 5: Solve for x
    x = 123,007.42/333.39
  6. Step 6: Final answer
    x = 368.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.