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Finding the Fourth Proportional to 355.96, 534.21 and 193.42

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Solution

The fourth proportional to 355.96, 534.21 and 193.42 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.96 : 534.21 = 193.42 : x
  2. Step 2: Convert to fraction form
    355.96/534.21 = 193.42/x
  3. Step 3: Cross multiply
    355.96x = 534.21 × 193.42
  4. Step 4: Simplify right side
    355.96x = 103,326.90
  5. Step 5: Solve for x
    x = 103,326.90/355.96
  6. Step 6: Final answer
    x = 290.28

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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.