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Finding the Fourth Proportional to 242.04, 360.78 and 222.60

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Solution

The fourth proportional to 242.04, 360.78 and 222.60 is: 331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.04 : 360.78 = 222.60 : x
  2. Step 2: Convert to fraction form
    242.04/360.78 = 222.60/x
  3. Step 3: Cross multiply
    242.04x = 360.78 × 222.60
  4. Step 4: Simplify right side
    242.04x = 80,309.63
  5. Step 5: Solve for x
    x = 80,309.63/242.04
  6. Step 6: Final answer
    x = 331.80

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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.