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Finding the Fourth Proportional to 355.10, 532.70 and 181.87

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Solution

The fourth proportional to 355.10, 532.70 and 181.87 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.10 : 532.70 = 181.87 : x
  2. Step 2: Convert to fraction form
    355.10/532.70 = 181.87/x
  3. Step 3: Cross multiply
    355.10x = 532.70 × 181.87
  4. Step 4: Simplify right side
    355.10x = 96,879.94
  5. Step 5: Solve for x
    x = 96,879.94/355.10
  6. Step 6: Final answer
    x = 272.82

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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.