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Finding the Fourth Proportional to 418.67, 577.64 and 243.89

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Solution

The fourth proportional to 418.67, 577.64 and 243.89 is: 336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.67 : 577.64 = 243.89 : x
  2. Step 2: Convert to fraction form
    418.67/577.64 = 243.89/x
  3. Step 3: Cross multiply
    418.67x = 577.64 × 243.89
  4. Step 4: Simplify right side
    418.67x = 140,879.40
  5. Step 5: Solve for x
    x = 140,879.40/418.67
  6. Step 6: Final answer
    x = 336.49

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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.