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Finding the Fourth Proportional to 333.27, 459.81 and 216.75

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Solution

The fourth proportional to 333.27, 459.81 and 216.75 is: 299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.27 : 459.81 = 216.75 : x
  2. Step 2: Convert to fraction form
    333.27/459.81 = 216.75/x
  3. Step 3: Cross multiply
    333.27x = 459.81 × 216.75
  4. Step 4: Simplify right side
    333.27x = 99,663.82
  5. Step 5: Solve for x
    x = 99,663.82/333.27
  6. Step 6: Final answer
    x = 299.05

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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.