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Finding the Fourth Proportional to 386.77, 580.16 and 257.61

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Solution

The fourth proportional to 386.77, 580.16 and 257.61 is: 386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.77 : 580.16 = 257.61 : x
  2. Step 2: Convert to fraction form
    386.77/580.16 = 257.61/x
  3. Step 3: Cross multiply
    386.77x = 580.16 × 257.61
  4. Step 4: Simplify right side
    386.77x = 149,455.02
  5. Step 5: Solve for x
    x = 149,455.02/386.77
  6. Step 6: Final answer
    x = 386.42

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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.