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Finding the Fourth Proportional to 242.06, 360.59 and 227.12

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Solution

The fourth proportional to 242.06, 360.59 and 227.12 is: 338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.06 : 360.59 = 227.12 : x
  2. Step 2: Convert to fraction form
    242.06/360.59 = 227.12/x
  3. Step 3: Cross multiply
    242.06x = 360.59 × 227.12
  4. Step 4: Simplify right side
    242.06x = 81,894.26
  5. Step 5: Solve for x
    x = 81,894.26/242.06
  6. Step 6: Final answer
    x = 338.33

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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.