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Finding the Fourth Proportional to 253.95, 381.39 and 242.41

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Solution

The fourth proportional to 253.95, 381.39 and 242.41 is: 364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.95 : 381.39 = 242.41 : x
  2. Step 2: Convert to fraction form
    253.95/381.39 = 242.41/x
  3. Step 3: Cross multiply
    253.95x = 381.39 × 242.41
  4. Step 4: Simplify right side
    253.95x = 92,451.54
  5. Step 5: Solve for x
    x = 92,451.54/253.95
  6. Step 6: Final answer
    x = 364.05

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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.