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Finding the Fourth Proportional to 352.25, 527.70 and 274.85

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Solution

The fourth proportional to 352.25, 527.70 and 274.85 is: 411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.25 : 527.70 = 274.85 : x
  2. Step 2: Convert to fraction form
    352.25/527.70 = 274.85/x
  3. Step 3: Cross multiply
    352.25x = 527.70 × 274.85
  4. Step 4: Simplify right side
    352.25x = 145,038.35
  5. Step 5: Solve for x
    x = 145,038.35/352.25
  6. Step 6: Final answer
    x = 411.75

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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.