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Finding the Fourth Proportional to 258.95, 357.21 and 209.74

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Solution

The fourth proportional to 258.95, 357.21 and 209.74 is: 289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.95 : 357.21 = 209.74 : x
  2. Step 2: Convert to fraction form
    258.95/357.21 = 209.74/x
  3. Step 3: Cross multiply
    258.95x = 357.21 × 209.74
  4. Step 4: Simplify right side
    258.95x = 74,921.00
  5. Step 5: Solve for x
    x = 74,921.00/258.95
  6. Step 6: Final answer
    x = 289.33

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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.