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Finding the Fourth Proportional to 354.73, 534.19 and 309.61

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Solution

The fourth proportional to 354.73, 534.19 and 309.61 is: 466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.73 : 534.19 = 309.61 : x
  2. Step 2: Convert to fraction form
    354.73/534.19 = 309.61/x
  3. Step 3: Cross multiply
    354.73x = 534.19 × 309.61
  4. Step 4: Simplify right side
    354.73x = 165,390.57
  5. Step 5: Solve for x
    x = 165,390.57/354.73
  6. Step 6: Final answer
    x = 466.24

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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.