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Finding the Fourth Proportional to 258, 356.09 and 154.50

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Solution

The fourth proportional to 258, 356.09 and 154.50 is: 213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 356.09 = 154.50 : x
  2. Step 2: Convert to fraction form
    258/356.09 = 154.50/x
  3. Step 3: Cross multiply
    258x = 356.09 × 154.50
  4. Step 4: Simplify right side
    258x = 55,015.13
  5. Step 5: Solve for x
    x = 55,015.13/258
  6. Step 6: Final answer
    x = 213.24

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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.