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Finding the Fourth Proportional to 355.39, 533.10 and 111.94

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Solution

The fourth proportional to 355.39, 533.10 and 111.94 is: 167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.39 : 533.10 = 111.94 : x
  2. Step 2: Convert to fraction form
    355.39/533.10 = 111.94/x
  3. Step 3: Cross multiply
    355.39x = 533.10 × 111.94
  4. Step 4: Simplify right side
    355.39x = 59,676.30
  5. Step 5: Solve for x
    x = 59,676.30/355.39
  6. Step 6: Final answer
    x = 167.92

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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.