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Finding the Fourth Proportional to 355.90, 533.72 and 160.86

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Solution

The fourth proportional to 355.90, 533.72 and 160.86 is: 241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.90 : 533.72 = 160.86 : x
  2. Step 2: Convert to fraction form
    355.90/533.72 = 160.86/x
  3. Step 3: Cross multiply
    355.90x = 533.72 × 160.86
  4. Step 4: Simplify right side
    355.90x = 85,854.20
  5. Step 5: Solve for x
    x = 85,854.20/355.90
  6. Step 6: Final answer
    x = 241.23

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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.