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Finding the Fourth Proportional to 258.20, 356.92 and 209.32

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Solution

The fourth proportional to 258.20, 356.92 and 209.32 is: 289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.20 : 356.92 = 209.32 : x
  2. Step 2: Convert to fraction form
    258.20/356.92 = 209.32/x
  3. Step 3: Cross multiply
    258.20x = 356.92 × 209.32
  4. Step 4: Simplify right side
    258.20x = 74,710.49
  5. Step 5: Solve for x
    x = 74,710.49/258.20
  6. Step 6: Final answer
    x = 289.35

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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.