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Finding the Fourth Proportional to 346.01, 519.14 and 209.15

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Solution

The fourth proportional to 346.01, 519.14 and 209.15 is: 313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.01 : 519.14 = 209.15 : x
  2. Step 2: Convert to fraction form
    346.01/519.14 = 209.15/x
  3. Step 3: Cross multiply
    346.01x = 519.14 × 209.15
  4. Step 4: Simplify right side
    346.01x = 108,578.13
  5. Step 5: Solve for x
    x = 108,578.13/346.01
  6. Step 6: Final answer
    x = 313.80

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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.