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Finding the Fourth Proportional to 355.82, 491.20 and 268.52

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Solution

The fourth proportional to 355.82, 491.20 and 268.52 is: 370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.82 : 491.20 = 268.52 : x
  2. Step 2: Convert to fraction form
    355.82/491.20 = 268.52/x
  3. Step 3: Cross multiply
    355.82x = 491.20 × 268.52
  4. Step 4: Simplify right side
    355.82x = 131,897.02
  5. Step 5: Solve for x
    x = 131,897.02/355.82
  6. Step 6: Final answer
    x = 370.68

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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.