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Finding the Fourth Proportional to 427.69, 590.21 and 231.20

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Solution

The fourth proportional to 427.69, 590.21 and 231.20 is: 319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.69 : 590.21 = 231.20 : x
  2. Step 2: Convert to fraction form
    427.69/590.21 = 231.20/x
  3. Step 3: Cross multiply
    427.69x = 590.21 × 231.20
  4. Step 4: Simplify right side
    427.69x = 136,459.41
  5. Step 5: Solve for x
    x = 136,459.41/427.69
  6. Step 6: Final answer
    x = 319.06

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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.