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Finding the Fourth Proportional to 417.74, 576.43 and 268.09

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Solution

The fourth proportional to 417.74, 576.43 and 268.09 is: 369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.74 : 576.43 = 268.09 : x
  2. Step 2: Convert to fraction form
    417.74/576.43 = 268.09/x
  3. Step 3: Cross multiply
    417.74x = 576.43 × 268.09
  4. Step 4: Simplify right side
    417.74x = 154,533.01
  5. Step 5: Solve for x
    x = 154,533.01/417.74
  6. Step 6: Final answer
    x = 369.93

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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.