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Finding the Fourth Proportional to 257.86, 386.83 and 136.13

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Solution

The fourth proportional to 257.86, 386.83 and 136.13 is: 204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.86 : 386.83 = 136.13 : x
  2. Step 2: Convert to fraction form
    257.86/386.83 = 136.13/x
  3. Step 3: Cross multiply
    257.86x = 386.83 × 136.13
  4. Step 4: Simplify right side
    257.86x = 52,658.49
  5. Step 5: Solve for x
    x = 52,658.49/257.86
  6. Step 6: Final answer
    x = 204.21

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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.