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Finding the Fourth Proportional to 418.78, 577.89 and 232.25

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Solution

The fourth proportional to 418.78, 577.89 and 232.25 is: 320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.78 : 577.89 = 232.25 : x
  2. Step 2: Convert to fraction form
    418.78/577.89 = 232.25/x
  3. Step 3: Cross multiply
    418.78x = 577.89 × 232.25
  4. Step 4: Simplify right side
    418.78x = 134,214.37
  5. Step 5: Solve for x
    x = 134,214.37/418.78
  6. Step 6: Final answer
    x = 320.49

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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.