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Finding the Fourth Proportional to 365.81, 548.43 and 211.57

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Solution

The fourth proportional to 365.81, 548.43 and 211.57 is: 317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.81 : 548.43 = 211.57 : x
  2. Step 2: Convert to fraction form
    365.81/548.43 = 211.57/x
  3. Step 3: Cross multiply
    365.81x = 548.43 × 211.57
  4. Step 4: Simplify right side
    365.81x = 116,031.34
  5. Step 5: Solve for x
    x = 116,031.34/365.81
  6. Step 6: Final answer
    x = 317.19

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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.