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Finding the Fourth Proportional to 550.29, 826.92 and 307.02

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Solution

The fourth proportional to 550.29, 826.92 and 307.02 is: 461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.29 : 826.92 = 307.02 : x
  2. Step 2: Convert to fraction form
    550.29/826.92 = 307.02/x
  3. Step 3: Cross multiply
    550.29x = 826.92 × 307.02
  4. Step 4: Simplify right side
    550.29x = 253,880.98
  5. Step 5: Solve for x
    x = 253,880.98/550.29
  6. Step 6: Final answer
    x = 461.36

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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.