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Finding the Fourth Proportional to 258.42, 356.12 and 184.54

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Solution

The fourth proportional to 258.42, 356.12 and 184.54 is: 254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.42 : 356.12 = 184.54 : x
  2. Step 2: Convert to fraction form
    258.42/356.12 = 184.54/x
  3. Step 3: Cross multiply
    258.42x = 356.12 × 184.54
  4. Step 4: Simplify right side
    258.42x = 65,718.38
  5. Step 5: Solve for x
    x = 65,718.38/258.42
  6. Step 6: Final answer
    x = 254.31

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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.