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Finding the Fourth Proportional to 484.96, 727.38 and 176.83

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Solution

The fourth proportional to 484.96, 727.38 and 176.83 is: 265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.96 : 727.38 = 176.83 : x
  2. Step 2: Convert to fraction form
    484.96/727.38 = 176.83/x
  3. Step 3: Cross multiply
    484.96x = 727.38 × 176.83
  4. Step 4: Simplify right side
    484.96x = 128,622.61
  5. Step 5: Solve for x
    x = 128,622.61/484.96
  6. Step 6: Final answer
    x = 265.22

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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.