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Finding the Fourth Proportional to 461.84, 694.20 and 366.80

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Solution

The fourth proportional to 461.84, 694.20 and 366.80 is: 551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.84 : 694.20 = 366.80 : x
  2. Step 2: Convert to fraction form
    461.84/694.20 = 366.80/x
  3. Step 3: Cross multiply
    461.84x = 694.20 × 366.80
  4. Step 4: Simplify right side
    461.84x = 254,632.56
  5. Step 5: Solve for x
    x = 254,632.56/461.84
  6. Step 6: Final answer
    x = 551.34

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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.