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Finding the Fourth Proportional to 355.90, 533.88 and 112.42

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Solution

The fourth proportional to 355.90, 533.88 and 112.42 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.90 : 533.88 = 112.42 : x
  2. Step 2: Convert to fraction form
    355.90/533.88 = 112.42/x
  3. Step 3: Cross multiply
    355.90x = 533.88 × 112.42
  4. Step 4: Simplify right side
    355.90x = 60,018.79
  5. Step 5: Solve for x
    x = 60,018.79/355.90
  6. Step 6: Final answer
    x = 168.64

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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.