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Finding the Fourth Proportional to 346.50, 518.73 and 209.15

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Solution

The fourth proportional to 346.50, 518.73 and 209.15 is: 313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.50 : 518.73 = 209.15 : x
  2. Step 2: Convert to fraction form
    346.50/518.73 = 209.15/x
  3. Step 3: Cross multiply
    346.50x = 518.73 × 209.15
  4. Step 4: Simplify right side
    346.50x = 108,489.79
  5. Step 5: Solve for x
    x = 108,489.79/346.50
  6. Step 6: Final answer
    x = 313.10

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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.