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Finding the Fourth Proportional to 242.89, 366.16 and 227.23

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Solution

The fourth proportional to 242.89, 366.16 and 227.23 is: 342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.89 : 366.16 = 227.23 : x
  2. Step 2: Convert to fraction form
    242.89/366.16 = 227.23/x
  3. Step 3: Cross multiply
    242.89x = 366.16 × 227.23
  4. Step 4: Simplify right side
    242.89x = 83,202.93
  5. Step 5: Solve for x
    x = 83,202.93/242.89
  6. Step 6: Final answer
    x = 342.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.