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Finding the Fourth Proportional to 253.71, 379.63 and 224.59

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Solution

The fourth proportional to 253.71, 379.63 and 224.59 is: 336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.71 : 379.63 = 224.59 : x
  2. Step 2: Convert to fraction form
    253.71/379.63 = 224.59/x
  3. Step 3: Cross multiply
    253.71x = 379.63 × 224.59
  4. Step 4: Simplify right side
    253.71x = 85,261.10
  5. Step 5: Solve for x
    x = 85,261.10/253.71
  6. Step 6: Final answer
    x = 336.06

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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.