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Finding the Fourth Proportional to 245.88, 369.12 and 193.98

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Solution

The fourth proportional to 245.88, 369.12 and 193.98 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.88 : 369.12 = 193.98 : x
  2. Step 2: Convert to fraction form
    245.88/369.12 = 193.98/x
  3. Step 3: Cross multiply
    245.88x = 369.12 × 193.98
  4. Step 4: Simplify right side
    245.88x = 71,601.90
  5. Step 5: Solve for x
    x = 71,601.90/245.88
  6. Step 6: Final answer
    x = 291.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.