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Finding the Fourth Proportional to 333.10, 459.65 and 193.22

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Solution

The fourth proportional to 333.10, 459.65 and 193.22 is: 266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.10 : 459.65 = 193.22 : x
  2. Step 2: Convert to fraction form
    333.10/459.65 = 193.22/x
  3. Step 3: Cross multiply
    333.10x = 459.65 × 193.22
  4. Step 4: Simplify right side
    333.10x = 88,813.76
  5. Step 5: Solve for x
    x = 88,813.76/333.10
  6. Step 6: Final answer
    x = 266.63

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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.