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Finding the Fourth Proportional to 557.31, 769.10 and 305.26

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Solution

The fourth proportional to 557.31, 769.10 and 305.26 is: 421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.31 : 769.10 = 305.26 : x
  2. Step 2: Convert to fraction form
    557.31/769.10 = 305.26/x
  3. Step 3: Cross multiply
    557.31x = 769.10 × 305.26
  4. Step 4: Simplify right side
    557.31x = 234,775.47
  5. Step 5: Solve for x
    x = 234,775.47/557.31
  6. Step 6: Final answer
    x = 421.27

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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.