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Finding the Fourth Proportional to 418.22, 577.38 and 324.76

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Solution

The fourth proportional to 418.22, 577.38 and 324.76 is: 448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.22 : 577.38 = 324.76 : x
  2. Step 2: Convert to fraction form
    418.22/577.38 = 324.76/x
  3. Step 3: Cross multiply
    418.22x = 577.38 × 324.76
  4. Step 4: Simplify right side
    418.22x = 187,509.93
  5. Step 5: Solve for x
    x = 187,509.93/418.22
  6. Step 6: Final answer
    x = 448.35

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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.