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Finding the Fourth Proportional to 537.71, 805.19 and 364.10

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Solution

The fourth proportional to 537.71, 805.19 and 364.10 is: 545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.71 : 805.19 = 364.10 : x
  2. Step 2: Convert to fraction form
    537.71/805.19 = 364.10/x
  3. Step 3: Cross multiply
    537.71x = 805.19 × 364.10
  4. Step 4: Simplify right side
    537.71x = 293,163.83
  5. Step 5: Solve for x
    x = 293,163.83/537.71
  6. Step 6: Final answer
    x = 545.21

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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.