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Finding the Fourth Proportional to 365.05, 546.40 and 191.48

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Solution

The fourth proportional to 365.05, 546.40 and 191.48 is: 286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.05 : 546.40 = 191.48 : x
  2. Step 2: Convert to fraction form
    365.05/546.40 = 191.48/x
  3. Step 3: Cross multiply
    365.05x = 546.40 × 191.48
  4. Step 4: Simplify right side
    365.05x = 104,623.49
  5. Step 5: Solve for x
    x = 104,623.49/365.05
  6. Step 6: Final answer
    x = 286.60

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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.