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Finding the Fourth Proportional to 365.90, 548.93 and 109.40

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Solution

The fourth proportional to 365.90, 548.93 and 109.40 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.90 : 548.93 = 109.40 : x
  2. Step 2: Convert to fraction form
    365.90/548.93 = 109.40/x
  3. Step 3: Cross multiply
    365.90x = 548.93 × 109.40
  4. Step 4: Simplify right side
    365.90x = 60,052.94
  5. Step 5: Solve for x
    x = 60,052.94/365.90
  6. Step 6: Final answer
    x = 164.12

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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.