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Finding the Fourth Proportional to 253.50, 381.66 and 198.95

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Solution

The fourth proportional to 253.50, 381.66 and 198.95 is: 299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.50 : 381.66 = 198.95 : x
  2. Step 2: Convert to fraction form
    253.50/381.66 = 198.95/x
  3. Step 3: Cross multiply
    253.50x = 381.66 × 198.95
  4. Step 4: Simplify right side
    253.50x = 75,931.26
  5. Step 5: Solve for x
    x = 75,931.26/253.50
  6. Step 6: Final answer
    x = 299.53

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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.