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Finding the Fourth Proportional to 333.25, 459.93 and 217.06

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Solution

The fourth proportional to 333.25, 459.93 and 217.06 is: 299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.25 : 459.93 = 217.06 : x
  2. Step 2: Convert to fraction form
    333.25/459.93 = 217.06/x
  3. Step 3: Cross multiply
    333.25x = 459.93 × 217.06
  4. Step 4: Simplify right side
    333.25x = 99,832.41
  5. Step 5: Solve for x
    x = 99,832.41/333.25
  6. Step 6: Final answer
    x = 299.57

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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.