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Finding the Fourth Proportional to 386.95, 580.94 and 224.75

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Solution

The fourth proportional to 386.95, 580.94 and 224.75 is: 337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.95 : 580.94 = 224.75 : x
  2. Step 2: Convert to fraction form
    386.95/580.94 = 224.75/x
  3. Step 3: Cross multiply
    386.95x = 580.94 × 224.75
  4. Step 4: Simplify right side
    386.95x = 130,566.27
  5. Step 5: Solve for x
    x = 130,566.27/386.95
  6. Step 6: Final answer
    x = 337.42

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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.