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Finding the Fourth Proportional to 557.43, 769.21 and 305.30

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Solution

The fourth proportional to 557.43, 769.21 and 305.30 is: 421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.43 : 769.21 = 305.30 : x
  2. Step 2: Convert to fraction form
    557.43/769.21 = 305.30/x
  3. Step 3: Cross multiply
    557.43x = 769.21 × 305.30
  4. Step 4: Simplify right side
    557.43x = 234,842.12
  5. Step 5: Solve for x
    x = 234,842.12/557.43
  6. Step 6: Final answer
    x = 421.29

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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.