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Finding the Fourth Proportional to 355.10, 533.05 and 334.85

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Solution

The fourth proportional to 355.10, 533.05 and 334.85 is: 502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.10 : 533.05 = 334.85 : x
  2. Step 2: Convert to fraction form
    355.10/533.05 = 334.85/x
  3. Step 3: Cross multiply
    355.10x = 533.05 × 334.85
  4. Step 4: Simplify right side
    355.10x = 178,489.13
  5. Step 5: Solve for x
    x = 178,489.13/355.10
  6. Step 6: Final answer
    x = 502.65

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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.