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Finding the Fourth Proportional to 257.69, 386.26 and 142

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Solution

The fourth proportional to 257.69, 386.26 and 142 is: 212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.69 : 386.26 = 142 : x
  2. Step 2: Convert to fraction form
    257.69/386.26 = 142/x
  3. Step 3: Cross multiply
    257.69x = 386.26 × 142
  4. Step 4: Simplify right side
    257.69x = 54,848.92
  5. Step 5: Solve for x
    x = 54,848.92/257.69
  6. Step 6: Final answer
    x = 212.85

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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.