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Finding the Fourth Proportional to 352.86, 529.15 and 206.66

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Solution

The fourth proportional to 352.86, 529.15 and 206.66 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.86 : 529.15 = 206.66 : x
  2. Step 2: Convert to fraction form
    352.86/529.15 = 206.66/x
  3. Step 3: Cross multiply
    352.86x = 529.15 × 206.66
  4. Step 4: Simplify right side
    352.86x = 109,354.14
  5. Step 5: Solve for x
    x = 109,354.14/352.86
  6. Step 6: Final answer
    x = 309.91

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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.