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Finding the Fourth Proportional to 257.88, 386.87 and 165.93

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Solution

The fourth proportional to 257.88, 386.87 and 165.93 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.88 : 386.87 = 165.93 : x
  2. Step 2: Convert to fraction form
    257.88/386.87 = 165.93/x
  3. Step 3: Cross multiply
    257.88x = 386.87 × 165.93
  4. Step 4: Simplify right side
    257.88x = 64,193.51
  5. Step 5: Solve for x
    x = 64,193.51/257.88
  6. Step 6: Final answer
    x = 248.93

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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.