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Finding the Fourth Proportional to 243.87, 336.87 and 202.64

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Solution

The fourth proportional to 243.87, 336.87 and 202.64 is: 279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.87 : 336.87 = 202.64 : x
  2. Step 2: Convert to fraction form
    243.87/336.87 = 202.64/x
  3. Step 3: Cross multiply
    243.87x = 336.87 × 202.64
  4. Step 4: Simplify right side
    243.87x = 68,263.34
  5. Step 5: Solve for x
    x = 68,263.34/243.87
  6. Step 6: Final answer
    x = 279.92

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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.