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Finding the Fourth Proportional to 346.89, 519.12 and 215.05

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Solution

The fourth proportional to 346.89, 519.12 and 215.05 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.89 : 519.12 = 215.05 : x
  2. Step 2: Convert to fraction form
    346.89/519.12 = 215.05/x
  3. Step 3: Cross multiply
    346.89x = 519.12 × 215.05
  4. Step 4: Simplify right side
    346.89x = 111,636.76
  5. Step 5: Solve for x
    x = 111,636.76/346.89
  6. Step 6: Final answer
    x = 321.83

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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.