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Finding the Fourth Proportional to 365.64, 548.55 and 149.28

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Solution

The fourth proportional to 365.64, 548.55 and 149.28 is: 223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.64 : 548.55 = 149.28 : x
  2. Step 2: Convert to fraction form
    365.64/548.55 = 149.28/x
  3. Step 3: Cross multiply
    365.64x = 548.55 × 149.28
  4. Step 4: Simplify right side
    365.64x = 81,887.54
  5. Step 5: Solve for x
    x = 81,887.54/365.64
  6. Step 6: Final answer
    x = 223.96

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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.