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Finding the Fourth Proportional to 418.18, 577.20 and 270.82

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Solution

The fourth proportional to 418.18, 577.20 and 270.82 is: 373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.18 : 577.20 = 270.82 : x
  2. Step 2: Convert to fraction form
    418.18/577.20 = 270.82/x
  3. Step 3: Cross multiply
    418.18x = 577.20 × 270.82
  4. Step 4: Simplify right side
    418.18x = 156,317.30
  5. Step 5: Solve for x
    x = 156,317.30/418.18
  6. Step 6: Final answer
    x = 373.80

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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.