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Finding the Fourth Proportional to 222.36, 307.12 and 204.82

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Solution

The fourth proportional to 222.36, 307.12 and 204.82 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.36 : 307.12 = 204.82 : x
  2. Step 2: Convert to fraction form
    222.36/307.12 = 204.82/x
  3. Step 3: Cross multiply
    222.36x = 307.12 × 204.82
  4. Step 4: Simplify right side
    222.36x = 62,904.32
  5. Step 5: Solve for x
    x = 62,904.32/222.36
  6. Step 6: Final answer
    x = 282.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.