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Finding the Fourth Proportional to 345.40, 518.04 and 209.32

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Solution

The fourth proportional to 345.40, 518.04 and 209.32 is: 313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.40 : 518.04 = 209.32 : x
  2. Step 2: Convert to fraction form
    345.40/518.04 = 209.32/x
  3. Step 3: Cross multiply
    345.40x = 518.04 × 209.32
  4. Step 4: Simplify right side
    345.40x = 108,436.13
  5. Step 5: Solve for x
    x = 108,436.13/345.40
  6. Step 6: Final answer
    x = 313.94

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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.