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Finding the Fourth Proportional to 537.10, 805.73 and 263.21

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Solution

The fourth proportional to 537.10, 805.73 and 263.21 is: 394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.10 : 805.73 = 263.21 : x
  2. Step 2: Convert to fraction form
    537.10/805.73 = 263.21/x
  3. Step 3: Cross multiply
    537.10x = 805.73 × 263.21
  4. Step 4: Simplify right side
    537.10x = 212,070.85
  5. Step 5: Solve for x
    x = 212,070.85/537.10
  6. Step 6: Final answer
    x = 394.85

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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.