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Finding the Fourth Proportional to 365.21, 548.12 and 191.94

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Solution

The fourth proportional to 365.21, 548.12 and 191.94 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 548.12 = 191.94 : x
  2. Step 2: Convert to fraction form
    365.21/548.12 = 191.94/x
  3. Step 3: Cross multiply
    365.21x = 548.12 × 191.94
  4. Step 4: Simplify right side
    365.21x = 105,206.15
  5. Step 5: Solve for x
    x = 105,206.15/365.21
  6. Step 6: Final answer
    x = 288.07

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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.