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Finding the Fourth Proportional to 418.72, 577.80 and 252.88

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Solution

The fourth proportional to 418.72, 577.80 and 252.88 is: 348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.72 : 577.80 = 252.88 : x
  2. Step 2: Convert to fraction form
    418.72/577.80 = 252.88/x
  3. Step 3: Cross multiply
    418.72x = 577.80 × 252.88
  4. Step 4: Simplify right side
    418.72x = 146,114.06
  5. Step 5: Solve for x
    x = 146,114.06/418.72
  6. Step 6: Final answer
    x = 348.95

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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.