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Finding the Fourth Proportional to 333.25, 459.68 and 202.23

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Solution

The fourth proportional to 333.25, 459.68 and 202.23 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.25 : 459.68 = 202.23 : x
  2. Step 2: Convert to fraction form
    333.25/459.68 = 202.23/x
  3. Step 3: Cross multiply
    333.25x = 459.68 × 202.23
  4. Step 4: Simplify right side
    333.25x = 92,960.08
  5. Step 5: Solve for x
    x = 92,960.08/333.25
  6. Step 6: Final answer
    x = 278.95

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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.