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Finding the Fourth Proportional to 258.14, 387.30 and 161.84

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Solution

The fourth proportional to 258.14, 387.30 and 161.84 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.14 : 387.30 = 161.84 : x
  2. Step 2: Convert to fraction form
    258.14/387.30 = 161.84/x
  3. Step 3: Cross multiply
    258.14x = 387.30 × 161.84
  4. Step 4: Simplify right side
    258.14x = 62,680.63
  5. Step 5: Solve for x
    x = 62,680.63/258.14
  6. Step 6: Final answer
    x = 242.82

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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.