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Finding the Fourth Proportional to 253.84, 380.74 and 71.22

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Solution

The fourth proportional to 253.84, 380.74 and 71.22 is: 106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.84 : 380.74 = 71.22 : x
  2. Step 2: Convert to fraction form
    253.84/380.74 = 71.22/x
  3. Step 3: Cross multiply
    253.84x = 380.74 × 71.22
  4. Step 4: Simplify right side
    253.84x = 27,116.30
  5. Step 5: Solve for x
    x = 27,116.30/253.84
  6. Step 6: Final answer
    x = 106.82

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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.