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Finding the Fourth Proportional to 242.73, 362.31 and 225.81

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Solution

The fourth proportional to 242.73, 362.31 and 225.81 is: 337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.73 : 362.31 = 225.81 : x
  2. Step 2: Convert to fraction form
    242.73/362.31 = 225.81/x
  3. Step 3: Cross multiply
    242.73x = 362.31 × 225.81
  4. Step 4: Simplify right side
    242.73x = 81,813.22
  5. Step 5: Solve for x
    x = 81,813.22/242.73
  6. Step 6: Final answer
    x = 337.05

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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.