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Finding the Fourth Proportional to 242.64, 333.36 and 226.80

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Solution

The fourth proportional to 242.64, 333.36 and 226.80 is: 311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.64 : 333.36 = 226.80 : x
  2. Step 2: Convert to fraction form
    242.64/333.36 = 226.80/x
  3. Step 3: Cross multiply
    242.64x = 333.36 × 226.80
  4. Step 4: Simplify right side
    242.64x = 75,606.05
  5. Step 5: Solve for x
    x = 75,606.05/242.64
  6. Step 6: Final answer
    x = 311.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.