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Finding the Fourth Proportional to 258.50, 356.66 and 153.54

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Solution

The fourth proportional to 258.50, 356.66 and 153.54 is: 211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.50 : 356.66 = 153.54 : x
  2. Step 2: Convert to fraction form
    258.50/356.66 = 153.54/x
  3. Step 3: Cross multiply
    258.50x = 356.66 × 153.54
  4. Step 4: Simplify right side
    258.50x = 54,761.24
  5. Step 5: Solve for x
    x = 54,761.24/258.50
  6. Step 6: Final answer
    x = 211.84

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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.