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Finding the Fourth Proportional to 418.78, 577.64 and 252.82

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Solution

The fourth proportional to 418.78, 577.64 and 252.82 is: 348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.78 : 577.64 = 252.82 : x
  2. Step 2: Convert to fraction form
    418.78/577.64 = 252.82/x
  3. Step 3: Cross multiply
    418.78x = 577.64 × 252.82
  4. Step 4: Simplify right side
    418.78x = 146,038.94
  5. Step 5: Solve for x
    x = 146,038.94/418.78
  6. Step 6: Final answer
    x = 348.72

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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.