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Finding the Fourth Proportional to 365.55, 547.46 and 211.15

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Solution

The fourth proportional to 365.55, 547.46 and 211.15 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.55 : 547.46 = 211.15 : x
  2. Step 2: Convert to fraction form
    365.55/547.46 = 211.15/x
  3. Step 3: Cross multiply
    365.55x = 547.46 × 211.15
  4. Step 4: Simplify right side
    365.55x = 115,595.12
  5. Step 5: Solve for x
    x = 115,595.12/365.55
  6. Step 6: Final answer
    x = 316.22

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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.