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Finding the Fourth Proportional to 253.71, 380.07 and 208.13

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Solution

The fourth proportional to 253.71, 380.07 and 208.13 is: 311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.71 : 380.07 = 208.13 : x
  2. Step 2: Convert to fraction form
    253.71/380.07 = 208.13/x
  3. Step 3: Cross multiply
    253.71x = 380.07 × 208.13
  4. Step 4: Simplify right side
    253.71x = 79,102.07
  5. Step 5: Solve for x
    x = 79,102.07/253.71
  6. Step 6: Final answer
    x = 311.78

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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.