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Finding the Fourth Proportional to 365.56, 547.20 and 352.88

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Solution

The fourth proportional to 365.56, 547.20 and 352.88 is: 528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.56 : 547.20 = 352.88 : x
  2. Step 2: Convert to fraction form
    365.56/547.20 = 352.88/x
  3. Step 3: Cross multiply
    365.56x = 547.20 × 352.88
  4. Step 4: Simplify right side
    365.56x = 193,095.94
  5. Step 5: Solve for x
    x = 193,095.94/365.56
  6. Step 6: Final answer
    x = 528.22

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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.