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Finding the Fourth Proportional to 257.78, 386.86 and 166.26

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Solution

The fourth proportional to 257.78, 386.86 and 166.26 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.78 : 386.86 = 166.26 : x
  2. Step 2: Convert to fraction form
    257.78/386.86 = 166.26/x
  3. Step 3: Cross multiply
    257.78x = 386.86 × 166.26
  4. Step 4: Simplify right side
    257.78x = 64,319.34
  5. Step 5: Solve for x
    x = 64,319.34/257.78
  6. Step 6: Final answer
    x = 249.51

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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.