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Finding the Fourth Proportional to 234.80, 354.08 and 209.60

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Solution

The fourth proportional to 234.80, 354.08 and 209.60 is: 316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.80 : 354.08 = 209.60 : x
  2. Step 2: Convert to fraction form
    234.80/354.08 = 209.60/x
  3. Step 3: Cross multiply
    234.80x = 354.08 × 209.60
  4. Step 4: Simplify right side
    234.80x = 74,215.17
  5. Step 5: Solve for x
    x = 74,215.17/234.80
  6. Step 6: Final answer
    x = 316.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.