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Finding the Fourth Proportional to 402.71, 556.47 and 361.80

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Solution

The fourth proportional to 402.71, 556.47 and 361.80 is: 499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.71 : 556.47 = 361.80 : x
  2. Step 2: Convert to fraction form
    402.71/556.47 = 361.80/x
  3. Step 3: Cross multiply
    402.71x = 556.47 × 361.80
  4. Step 4: Simplify right side
    402.71x = 201,330.85
  5. Step 5: Solve for x
    x = 201,330.85/402.71
  6. Step 6: Final answer
    x = 499.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.