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Finding the Fourth Proportional to 557.48, 769.12 and 321.28

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Solution

The fourth proportional to 557.48, 769.12 and 321.28 is: 443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.48 : 769.12 = 321.28 : x
  2. Step 2: Convert to fraction form
    557.48/769.12 = 321.28/x
  3. Step 3: Cross multiply
    557.48x = 769.12 × 321.28
  4. Step 4: Simplify right side
    557.48x = 247,100.15
  5. Step 5: Solve for x
    x = 247,100.15/557.48
  6. Step 6: Final answer
    x = 443.24

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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.