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Finding the Fourth Proportional to 287.69, 397.33 and 222.98

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Solution

The fourth proportional to 287.69, 397.33 and 222.98 is: 307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.69 : 397.33 = 222.98 : x
  2. Step 2: Convert to fraction form
    287.69/397.33 = 222.98/x
  3. Step 3: Cross multiply
    287.69x = 397.33 × 222.98
  4. Step 4: Simplify right side
    287.69x = 88,596.64
  5. Step 5: Solve for x
    x = 88,596.64/287.69
  6. Step 6: Final answer
    x = 307.96

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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.