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Finding the Fourth Proportional to 365.05, 547.53 and 255.03

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Solution

The fourth proportional to 365.05, 547.53 and 255.03 is: 382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.05 : 547.53 = 255.03 : x
  2. Step 2: Convert to fraction form
    365.05/547.53 = 255.03/x
  3. Step 3: Cross multiply
    365.05x = 547.53 × 255.03
  4. Step 4: Simplify right side
    365.05x = 139,636.58
  5. Step 5: Solve for x
    x = 139,636.58/365.05
  6. Step 6: Final answer
    x = 382.51

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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.