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Finding the Fourth Proportional to 253.15, 349.44 and 222.39

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Solution

The fourth proportional to 253.15, 349.44 and 222.39 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.15 : 349.44 = 222.39 : x
  2. Step 2: Convert to fraction form
    253.15/349.44 = 222.39/x
  3. Step 3: Cross multiply
    253.15x = 349.44 × 222.39
  4. Step 4: Simplify right side
    253.15x = 77,711.96
  5. Step 5: Solve for x
    x = 77,711.96/253.15
  6. Step 6: Final answer
    x = 306.98

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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.