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Finding the Fourth Proportional to 333.80, 460.54 and 193.89

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Solution

The fourth proportional to 333.80, 460.54 and 193.89 is: 267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.80 : 460.54 = 193.89 : x
  2. Step 2: Convert to fraction form
    333.80/460.54 = 193.89/x
  3. Step 3: Cross multiply
    333.80x = 460.54 × 193.89
  4. Step 4: Simplify right side
    333.80x = 89,293.65
  5. Step 5: Solve for x
    x = 89,293.65/333.80
  6. Step 6: Final answer
    x = 267.51

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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.