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Finding the Fourth Proportional to 352.83, 529.17 and 121.71

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Solution

The fourth proportional to 352.83, 529.17 and 121.71 is: 182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.83 : 529.17 = 121.71 : x
  2. Step 2: Convert to fraction form
    352.83/529.17 = 121.71/x
  3. Step 3: Cross multiply
    352.83x = 529.17 × 121.71
  4. Step 4: Simplify right side
    352.83x = 64,407.49
  5. Step 5: Solve for x
    x = 64,407.49/352.83
  6. Step 6: Final answer
    x = 182.54

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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.