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Finding the Fourth Proportional to 346.31, 517.94 and 301.35

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Solution

The fourth proportional to 346.31, 517.94 and 301.35 is: 450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.31 : 517.94 = 301.35 : x
  2. Step 2: Convert to fraction form
    346.31/517.94 = 301.35/x
  3. Step 3: Cross multiply
    346.31x = 517.94 × 301.35
  4. Step 4: Simplify right side
    346.31x = 156,084.48
  5. Step 5: Solve for x
    x = 156,084.48/346.31
  6. Step 6: Final answer
    x = 450.71

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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.