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Finding the Fourth Proportional to 356.26, 533.90 and 161.24

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Solution

The fourth proportional to 356.26, 533.90 and 161.24 is: 241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.26 : 533.90 = 161.24 : x
  2. Step 2: Convert to fraction form
    356.26/533.90 = 161.24/x
  3. Step 3: Cross multiply
    356.26x = 533.90 × 161.24
  4. Step 4: Simplify right side
    356.26x = 86,086.04
  5. Step 5: Solve for x
    x = 86,086.04/356.26
  6. Step 6: Final answer
    x = 241.64

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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.