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Finding the Fourth Proportional to 346.30, 517.92 and 308.05

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Solution

The fourth proportional to 346.30, 517.92 and 308.05 is: 460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.30 : 517.92 = 308.05 : x
  2. Step 2: Convert to fraction form
    346.30/517.92 = 308.05/x
  3. Step 3: Cross multiply
    346.30x = 517.92 × 308.05
  4. Step 4: Simplify right side
    346.30x = 159,545.26
  5. Step 5: Solve for x
    x = 159,545.26/346.30
  6. Step 6: Final answer
    x = 460.71

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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.