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Finding the Fourth Proportional to 355.52, 531.68 and 201.06

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Solution

The fourth proportional to 355.52, 531.68 and 201.06 is: 300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.52 : 531.68 = 201.06 : x
  2. Step 2: Convert to fraction form
    355.52/531.68 = 201.06/x
  3. Step 3: Cross multiply
    355.52x = 531.68 × 201.06
  4. Step 4: Simplify right side
    355.52x = 106,898.58
  5. Step 5: Solve for x
    x = 106,898.58/355.52
  6. Step 6: Final answer
    x = 300.69

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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.