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Finding the Fourth Proportional to 484.46, 727.02 and 192

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Solution

The fourth proportional to 484.46, 727.02 and 192 is: 288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.46 : 727.02 = 192 : x
  2. Step 2: Convert to fraction form
    484.46/727.02 = 192/x
  3. Step 3: Cross multiply
    484.46x = 727.02 × 192
  4. Step 4: Simplify right side
    484.46x = 139,587.84
  5. Step 5: Solve for x
    x = 139,587.84/484.46
  6. Step 6: Final answer
    x = 288.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.