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Finding the Fourth Proportional to 257.46, 386.10 and 161.34

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Solution

The fourth proportional to 257.46, 386.10 and 161.34 is: 241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.46 : 386.10 = 161.34 : x
  2. Step 2: Convert to fraction form
    257.46/386.10 = 161.34/x
  3. Step 3: Cross multiply
    257.46x = 386.10 × 161.34
  4. Step 4: Simplify right side
    257.46x = 62,293.37
  5. Step 5: Solve for x
    x = 62,293.37/257.46
  6. Step 6: Final answer
    x = 241.95

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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.