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Finding the Fourth Proportional to 258.30, 354.87 and 209.03

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Solution

The fourth proportional to 258.30, 354.87 and 209.03 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.30 : 354.87 = 209.03 : x
  2. Step 2: Convert to fraction form
    258.30/354.87 = 209.03/x
  3. Step 3: Cross multiply
    258.30x = 354.87 × 209.03
  4. Step 4: Simplify right side
    258.30x = 74,176.70
  5. Step 5: Solve for x
    x = 74,176.70/258.30
  6. Step 6: Final answer
    x = 287.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.