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Finding the Fourth Proportional to 418.85, 628.81 and 265.42

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Solution

The fourth proportional to 418.85, 628.81 and 265.42 is: 398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.85 : 628.81 = 265.42 : x
  2. Step 2: Convert to fraction form
    418.85/628.81 = 265.42/x
  3. Step 3: Cross multiply
    418.85x = 628.81 × 265.42
  4. Step 4: Simplify right side
    418.85x = 166,897.42
  5. Step 5: Solve for x
    x = 166,897.42/418.85
  6. Step 6: Final answer
    x = 398.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.