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Finding the Fourth Proportional to 355.84, 534.22 and 193.64

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Solution

The fourth proportional to 355.84, 534.22 and 193.64 is: 290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 534.22 = 193.64 : x
  2. Step 2: Convert to fraction form
    355.84/534.22 = 193.64/x
  3. Step 3: Cross multiply
    355.84x = 534.22 × 193.64
  4. Step 4: Simplify right side
    355.84x = 103,446.76
  5. Step 5: Solve for x
    x = 103,446.76/355.84
  6. Step 6: Final answer
    x = 290.71

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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.