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Finding the Fourth Proportional to 258.18, 356.77 and 209.31

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Solution

The fourth proportional to 258.18, 356.77 and 209.31 is: 289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.18 : 356.77 = 209.31 : x
  2. Step 2: Convert to fraction form
    258.18/356.77 = 209.31/x
  3. Step 3: Cross multiply
    258.18x = 356.77 × 209.31
  4. Step 4: Simplify right side
    258.18x = 74,675.53
  5. Step 5: Solve for x
    x = 74,675.53/258.18
  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.