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Finding the Fourth Proportional to 258, 356.06 and 180.56

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Solution

The fourth proportional to 258, 356.06 and 180.56 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 356.06 = 180.56 : x
  2. Step 2: Convert to fraction form
    258/356.06 = 180.56/x
  3. Step 3: Cross multiply
    258x = 356.06 × 180.56
  4. Step 4: Simplify right side
    258x = 64,290.19
  5. Step 5: Solve for x
    x = 64,290.19/258
  6. Step 6: Final answer
    x = 249.19

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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.