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Finding the Fourth Proportional to 346.40, 518.79 and 209.13

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Solution

The fourth proportional to 346.40, 518.79 and 209.13 is: 313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.40 : 518.79 = 209.13 : x
  2. Step 2: Convert to fraction form
    346.40/518.79 = 209.13/x
  3. Step 3: Cross multiply
    346.40x = 518.79 × 209.13
  4. Step 4: Simplify right side
    346.40x = 108,494.55
  5. Step 5: Solve for x
    x = 108,494.55/346.40
  6. Step 6: Final answer
    x = 313.21

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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.