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Finding the Fourth Proportional to 257.36, 386.05 and 205.77

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Solution

The fourth proportional to 257.36, 386.05 and 205.77 is: 308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.36 : 386.05 = 205.77 : x
  2. Step 2: Convert to fraction form
    257.36/386.05 = 205.77/x
  3. Step 3: Cross multiply
    257.36x = 386.05 × 205.77
  4. Step 4: Simplify right side
    257.36x = 79,434.99
  5. Step 5: Solve for x
    x = 79,434.99/257.36
  6. Step 6: Final answer
    x = 308.65

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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.