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Finding the Fourth Proportional to 257.82, 386.45 and 142.01

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Solution

The fourth proportional to 257.82, 386.45 and 142.01 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.82 : 386.45 = 142.01 : x
  2. Step 2: Convert to fraction form
    257.82/386.45 = 142.01/x
  3. Step 3: Cross multiply
    257.82x = 386.45 × 142.01
  4. Step 4: Simplify right side
    257.82x = 54,879.10
  5. Step 5: Solve for x
    x = 54,879.10/257.82
  6. Step 6: Final answer
    x = 212.86

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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.