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Finding the Fourth Proportional to 258.83, 357.14 and 209.62

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Solution

The fourth proportional to 258.83, 357.14 and 209.62 is: 289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.83 : 357.14 = 209.62 : x
  2. Step 2: Convert to fraction form
    258.83/357.14 = 209.62/x
  3. Step 3: Cross multiply
    258.83x = 357.14 × 209.62
  4. Step 4: Simplify right side
    258.83x = 74,862.64
  5. Step 5: Solve for x
    x = 74,862.64/258.83
  6. Step 6: Final answer
    x = 289.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.