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Finding the Fourth Proportional to 389.56, 584.22 and 364

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Solution

The fourth proportional to 389.56, 584.22 and 364 is: 545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.56 : 584.22 = 364 : x
  2. Step 2: Convert to fraction form
    389.56/584.22 = 364/x
  3. Step 3: Cross multiply
    389.56x = 584.22 × 364
  4. Step 4: Simplify right side
    389.56x = 212,656.08
  5. Step 5: Solve for x
    x = 212,656.08/389.56
  6. Step 6: Final answer
    x = 545.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.