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Finding the Fourth Proportional to 257.73, 386.64 and 136.10

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Solution

The fourth proportional to 257.73, 386.64 and 136.10 is: 204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.73 : 386.64 = 136.10 : x
  2. Step 2: Convert to fraction form
    257.73/386.64 = 136.10/x
  3. Step 3: Cross multiply
    257.73x = 386.64 × 136.10
  4. Step 4: Simplify right side
    257.73x = 52,619.77
  5. Step 5: Solve for x
    x = 52,619.77/257.73
  6. Step 6: Final answer
    x = 204.17

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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.