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Finding the Fourth Proportional to 242.32, 333.84 and 200.64

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Solution

The fourth proportional to 242.32, 333.84 and 200.64 is: 276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.32 : 333.84 = 200.64 : x
  2. Step 2: Convert to fraction form
    242.32/333.84 = 200.64/x
  3. Step 3: Cross multiply
    242.32x = 333.84 × 200.64
  4. Step 4: Simplify right side
    242.32x = 66,981.66
  5. Step 5: Solve for x
    x = 66,981.66/242.32
  6. Step 6: Final answer
    x = 276.42

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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.