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Finding the Fourth Proportional to 484.40, 726.71 and 253.23

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Solution

The fourth proportional to 484.40, 726.71 and 253.23 is: 379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.40 : 726.71 = 253.23 : x
  2. Step 2: Convert to fraction form
    484.40/726.71 = 253.23/x
  3. Step 3: Cross multiply
    484.40x = 726.71 × 253.23
  4. Step 4: Simplify right side
    484.40x = 184,025.82
  5. Step 5: Solve for x
    x = 184,025.82/484.40
  6. Step 6: Final answer
    x = 379.90

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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.