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Finding the Fourth Proportional to 361.71, 501.17 and 352.80

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Solution

The fourth proportional to 361.71, 501.17 and 352.80 is: 488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.71 : 501.17 = 352.80 : x
  2. Step 2: Convert to fraction form
    361.71/501.17 = 352.80/x
  3. Step 3: Cross multiply
    361.71x = 501.17 × 352.80
  4. Step 4: Simplify right side
    361.71x = 176,811.01
  5. Step 5: Solve for x
    x = 176,811.01/361.71
  6. Step 6: Final answer
    x = 488.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.