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Finding the Fourth Proportional to 440.97, 608.45 and 285.63

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Solution

The fourth proportional to 440.97, 608.45 and 285.63 is: 394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.97 : 608.45 = 285.63 : x
  2. Step 2: Convert to fraction form
    440.97/608.45 = 285.63/x
  3. Step 3: Cross multiply
    440.97x = 608.45 × 285.63
  4. Step 4: Simplify right side
    440.97x = 173,791.57
  5. Step 5: Solve for x
    x = 173,791.57/440.97
  6. Step 6: Final answer
    x = 394.11

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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.