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Finding the Fourth Proportional to 418.42, 577.23 and 252.53

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Solution

The fourth proportional to 418.42, 577.23 and 252.53 is: 348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.42 : 577.23 = 252.53 : x
  2. Step 2: Convert to fraction form
    418.42/577.23 = 252.53/x
  3. Step 3: Cross multiply
    418.42x = 577.23 × 252.53
  4. Step 4: Simplify right side
    418.42x = 145,767.04
  5. Step 5: Solve for x
    x = 145,767.04/418.42
  6. Step 6: Final answer
    x = 348.38

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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.