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Finding the Fourth Proportional to 242.22, 365.31 and 242.22

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Solution

The fourth proportional to 242.22, 365.31 and 242.22 is: 365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.22 : 365.31 = 242.22 : x
  2. Step 2: Convert to fraction form
    242.22/365.31 = 242.22/x
  3. Step 3: Cross multiply
    242.22x = 365.31 × 242.22
  4. Step 4: Simplify right side
    242.22x = 88,485.39
  5. Step 5: Solve for x
    x = 88,485.39/242.22
  6. Step 6: Final answer
    x = 365.31

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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.