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Finding the Fourth Proportional to 337.63, 505.10 and 268.43

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Solution

The fourth proportional to 337.63, 505.10 and 268.43 is: 401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.63 : 505.10 = 268.43 : x
  2. Step 2: Convert to fraction form
    337.63/505.10 = 268.43/x
  3. Step 3: Cross multiply
    337.63x = 505.10 × 268.43
  4. Step 4: Simplify right side
    337.63x = 135,585.93
  5. Step 5: Solve for x
    x = 135,585.93/337.63
  6. Step 6: Final answer
    x = 401.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.