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Finding the Fourth Proportional to 258.20, 386.74 and 161.82

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Solution

The fourth proportional to 258.20, 386.74 and 161.82 is: 242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.20 : 386.74 = 161.82 : x
  2. Step 2: Convert to fraction form
    258.20/386.74 = 161.82/x
  3. Step 3: Cross multiply
    258.20x = 386.74 × 161.82
  4. Step 4: Simplify right side
    258.20x = 62,582.27
  5. Step 5: Solve for x
    x = 62,582.27/258.20
  6. Step 6: Final answer
    x = 242.38

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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.