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Finding the Fourth Proportional to 484.66, 726.78 and 176.44

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Solution

The fourth proportional to 484.66, 726.78 and 176.44 is: 264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.66 : 726.78 = 176.44 : x
  2. Step 2: Convert to fraction form
    484.66/726.78 = 176.44/x
  3. Step 3: Cross multiply
    484.66x = 726.78 × 176.44
  4. Step 4: Simplify right side
    484.66x = 128,233.06
  5. Step 5: Solve for x
    x = 128,233.06/484.66
  6. Step 6: Final answer
    x = 264.58

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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.