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Finding the Fourth Proportional to 410.12, 566.03 and 262.80

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Solution

The fourth proportional to 410.12, 566.03 and 262.80 is: 362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.12 : 566.03 = 262.80 : x
  2. Step 2: Convert to fraction form
    410.12/566.03 = 262.80/x
  3. Step 3: Cross multiply
    410.12x = 566.03 × 262.80
  4. Step 4: Simplify right side
    410.12x = 148,752.68
  5. Step 5: Solve for x
    x = 148,752.68/410.12
  6. Step 6: Final answer
    x = 362.71

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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.