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Finding the Fourth Proportional to 418.54, 577.53 and 252.82

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Solution

The fourth proportional to 418.54, 577.53 and 252.82 is: 348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.54 : 577.53 = 252.82 : x
  2. Step 2: Convert to fraction form
    418.54/577.53 = 252.82/x
  3. Step 3: Cross multiply
    418.54x = 577.53 × 252.82
  4. Step 4: Simplify right side
    418.54x = 146,011.13
  5. Step 5: Solve for x
    x = 146,011.13/418.54
  6. Step 6: Final answer
    x = 348.86

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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.