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Finding the Fourth Proportional to 446.97, 670.45 and 203.43

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Solution

The fourth proportional to 446.97, 670.45 and 203.43 is: 305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.97 : 670.45 = 203.43 : x
  2. Step 2: Convert to fraction form
    446.97/670.45 = 203.43/x
  3. Step 3: Cross multiply
    446.97x = 670.45 × 203.43
  4. Step 4: Simplify right side
    446.97x = 136,389.64
  5. Step 5: Solve for x
    x = 136,389.64/446.97
  6. Step 6: Final answer
    x = 305.14

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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.