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Finding the Fourth Proportional to 354.11, 488.43 and 243.63

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Solution

The fourth proportional to 354.11, 488.43 and 243.63 is: 336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.11 : 488.43 = 243.63 : x
  2. Step 2: Convert to fraction form
    354.11/488.43 = 243.63/x
  3. Step 3: Cross multiply
    354.11x = 488.43 × 243.63
  4. Step 4: Simplify right side
    354.11x = 118,996.20
  5. Step 5: Solve for x
    x = 118,996.20/354.11
  6. Step 6: Final answer
    x = 336.05

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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.