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Finding the Fourth Proportional to 418.28, 577.19 and 241.21

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Solution

The fourth proportional to 418.28, 577.19 and 241.21 is: 332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.28 : 577.19 = 241.21 : x
  2. Step 2: Convert to fraction form
    418.28/577.19 = 241.21/x
  3. Step 3: Cross multiply
    418.28x = 577.19 × 241.21
  4. Step 4: Simplify right side
    418.28x = 139,225.32
  5. Step 5: Solve for x
    x = 139,225.32/418.28
  6. Step 6: Final answer
    x = 332.85

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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.