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Finding the Fourth Proportional to 410.50, 566.61 and 255.22

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Solution

The fourth proportional to 410.50, 566.61 and 255.22 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 566.61 = 255.22 : x
  2. Step 2: Convert to fraction form
    410.50/566.61 = 255.22/x
  3. Step 3: Cross multiply
    410.50x = 566.61 × 255.22
  4. Step 4: Simplify right side
    410.50x = 144,610.20
  5. Step 5: Solve for x
    x = 144,610.20/410.50
  6. Step 6: Final answer
    x = 352.28

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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.