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Finding the Fourth Proportional to 386.88, 580.30 and 127.06

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Solution

The fourth proportional to 386.88, 580.30 and 127.06 is: 190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.88 : 580.30 = 127.06 : x
  2. Step 2: Convert to fraction form
    386.88/580.30 = 127.06/x
  3. Step 3: Cross multiply
    386.88x = 580.30 × 127.06
  4. Step 4: Simplify right side
    386.88x = 73,732.92
  5. Step 5: Solve for x
    x = 73,732.92/386.88
  6. Step 6: Final answer
    x = 190.58

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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.