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Finding the Fourth Proportional to 420.91, 580.86 and 231.86

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Solution

The fourth proportional to 420.91, 580.86 and 231.86 is: 319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.91 : 580.86 = 231.86 : x
  2. Step 2: Convert to fraction form
    420.91/580.86 = 231.86/x
  3. Step 3: Cross multiply
    420.91x = 580.86 × 231.86
  4. Step 4: Simplify right side
    420.91x = 134,678.20
  5. Step 5: Solve for x
    x = 134,678.20/420.91
  6. Step 6: Final answer
    x = 319.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.