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Finding the Fourth Proportional to 258.98, 387.82 and 181.58

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Solution

The fourth proportional to 258.98, 387.82 and 181.58 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.98 : 387.82 = 181.58 : x
  2. Step 2: Convert to fraction form
    258.98/387.82 = 181.58/x
  3. Step 3: Cross multiply
    258.98x = 387.82 × 181.58
  4. Step 4: Simplify right side
    258.98x = 70,418.42
  5. Step 5: Solve for x
    x = 70,418.42/258.98
  6. Step 6: Final answer
    x = 271.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.