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Finding the Fourth Proportional to 258.42, 387.56 and 181.34

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Solution

The fourth proportional to 258.42, 387.56 and 181.34 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.42 : 387.56 = 181.34 : x
  2. Step 2: Convert to fraction form
    258.42/387.56 = 181.34/x
  3. Step 3: Cross multiply
    258.42x = 387.56 × 181.34
  4. Step 4: Simplify right side
    258.42x = 70,280.13
  5. Step 5: Solve for x
    x = 70,280.13/258.42
  6. Step 6: Final answer
    x = 271.96

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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.