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Finding the Fourth Proportional to 257.96, 386.72 and 142.46

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Solution

The fourth proportional to 257.96, 386.72 and 142.46 is: 213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 386.72 = 142.46 : x
  2. Step 2: Convert to fraction form
    257.96/386.72 = 142.46/x
  3. Step 3: Cross multiply
    257.96x = 386.72 × 142.46
  4. Step 4: Simplify right side
    257.96x = 55,090.55
  5. Step 5: Solve for x
    x = 55,090.55/257.96
  6. Step 6: Final answer
    x = 213.57

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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.