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Finding the Fourth Proportional to 352.28, 528.60 and 261.76

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Solution

The fourth proportional to 352.28, 528.60 and 261.76 is: 392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.28 : 528.60 = 261.76 : x
  2. Step 2: Convert to fraction form
    352.28/528.60 = 261.76/x
  3. Step 3: Cross multiply
    352.28x = 528.60 × 261.76
  4. Step 4: Simplify right side
    352.28x = 138,366.34
  5. Step 5: Solve for x
    x = 138,366.34/352.28
  6. Step 6: Final answer
    x = 392.77

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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.