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Finding the Fourth Proportional to 242.30, 362.80 and 226.51

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Solution

The fourth proportional to 242.30, 362.80 and 226.51 is: 339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.30 : 362.80 = 226.51 : x
  2. Step 2: Convert to fraction form
    242.30/362.80 = 226.51/x
  3. Step 3: Cross multiply
    242.30x = 362.80 × 226.51
  4. Step 4: Simplify right side
    242.30x = 82,175.93
  5. Step 5: Solve for x
    x = 82,175.93/242.30
  6. Step 6: Final answer
    x = 339.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.