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Finding the Fourth Proportional to 386.56, 580.72 and 319.12

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Solution

The fourth proportional to 386.56, 580.72 and 319.12 is: 479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.56 : 580.72 = 319.12 : x
  2. Step 2: Convert to fraction form
    386.56/580.72 = 319.12/x
  3. Step 3: Cross multiply
    386.56x = 580.72 × 319.12
  4. Step 4: Simplify right side
    386.56x = 185,319.37
  5. Step 5: Solve for x
    x = 185,319.37/386.56
  6. Step 6: Final answer
    x = 479.41

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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.