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Finding the Fourth Proportional to 351.73, 529.66 and 306.61

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Solution

The fourth proportional to 351.73, 529.66 and 306.61 is: 461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.73 : 529.66 = 306.61 : x
  2. Step 2: Convert to fraction form
    351.73/529.66 = 306.61/x
  3. Step 3: Cross multiply
    351.73x = 529.66 × 306.61
  4. Step 4: Simplify right side
    351.73x = 162,399.05
  5. Step 5: Solve for x
    x = 162,399.05/351.73
  6. Step 6: Final answer
    x = 461.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.