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Finding the Fourth Proportional to 410.80, 566.40 and 361.60

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Solution

The fourth proportional to 410.80, 566.40 and 361.60 is: 498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.80 : 566.40 = 361.60 : x
  2. Step 2: Convert to fraction form
    410.80/566.40 = 361.60/x
  3. Step 3: Cross multiply
    410.80x = 566.40 × 361.60
  4. Step 4: Simplify right side
    410.80x = 204,810.24
  5. Step 5: Solve for x
    x = 204,810.24/410.80
  6. Step 6: Final answer
    x = 498.56

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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.