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Finding the Fourth Proportional to 355.39, 534.97 and 253.38

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Solution

The fourth proportional to 355.39, 534.97 and 253.38 is: 381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.39 : 534.97 = 253.38 : x
  2. Step 2: Convert to fraction form
    355.39/534.97 = 253.38/x
  3. Step 3: Cross multiply
    355.39x = 534.97 × 253.38
  4. Step 4: Simplify right side
    355.39x = 135,550.70
  5. Step 5: Solve for x
    x = 135,550.70/355.39
  6. Step 6: Final answer
    x = 381.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.