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Finding the Fourth Proportional to 242.64, 361.44 and 228.96

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Solution

The fourth proportional to 242.64, 361.44 and 228.96 is: 341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.64 : 361.44 = 228.96 : x
  2. Step 2: Convert to fraction form
    242.64/361.44 = 228.96/x
  3. Step 3: Cross multiply
    242.64x = 361.44 × 228.96
  4. Step 4: Simplify right side
    242.64x = 82,755.30
  5. Step 5: Solve for x
    x = 82,755.30/242.64
  6. Step 6: Final answer
    x = 341.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.