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Finding the Fourth Proportional to 484.95, 727.21 and 176.70

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Solution

The fourth proportional to 484.95, 727.21 and 176.70 is: 264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.95 : 727.21 = 176.70 : x
  2. Step 2: Convert to fraction form
    484.95/727.21 = 176.70/x
  3. Step 3: Cross multiply
    484.95x = 727.21 × 176.70
  4. Step 4: Simplify right side
    484.95x = 128,498.01
  5. Step 5: Solve for x
    x = 128,498.01/484.95
  6. Step 6: Final answer
    x = 264.97

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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.