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Finding the Fourth Proportional to 257.84, 386.44 and 142.34

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Solution

The fourth proportional to 257.84, 386.44 and 142.34 is: 213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.84 : 386.44 = 142.34 : x
  2. Step 2: Convert to fraction form
    257.84/386.44 = 142.34/x
  3. Step 3: Cross multiply
    257.84x = 386.44 × 142.34
  4. Step 4: Simplify right side
    257.84x = 55,005.87
  5. Step 5: Solve for x
    x = 55,005.87/257.84
  6. Step 6: Final answer
    x = 213.33

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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.