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Finding the Fourth Proportional to 258.09, 356.14 and 153.15

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Solution

The fourth proportional to 258.09, 356.14 and 153.15 is: 211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.09 : 356.14 = 153.15 : x
  2. Step 2: Convert to fraction form
    258.09/356.14 = 153.15/x
  3. Step 3: Cross multiply
    258.09x = 356.14 × 153.15
  4. Step 4: Simplify right side
    258.09x = 54,542.84
  5. Step 5: Solve for x
    x = 54,542.84/258.09
  6. Step 6: Final answer
    x = 211.33

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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.