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Finding the Fourth Proportional to 418.30, 577.26 and 231.80

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Solution

The fourth proportional to 418.30, 577.26 and 231.80 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.30 : 577.26 = 231.80 : x
  2. Step 2: Convert to fraction form
    418.30/577.26 = 231.80/x
  3. Step 3: Cross multiply
    418.30x = 577.26 × 231.80
  4. Step 4: Simplify right side
    418.30x = 133,807.71
  5. Step 5: Solve for x
    x = 133,807.71/418.30
  6. Step 6: Final answer
    x = 319.89

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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.