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Finding the Fourth Proportional to 814.02, 1,220.86 and 266.22

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Solution

The fourth proportional to 814.02, 1,220.86 and 266.22 is: 399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.02 : 1,220.86 = 266.22 : x
  2. Step 2: Convert to fraction form
    814.02/1,220.86 = 266.22/x
  3. Step 3: Cross multiply
    814.02x = 1,220.86 × 266.22
  4. Step 4: Simplify right side
    814.02x = 325,017.35
  5. Step 5: Solve for x
    x = 325,017.35/814.02
  6. Step 6: Final answer
    x = 399.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.