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Finding the Fourth Proportional to 369.05, 509.15 and 211.67

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Solution

The fourth proportional to 369.05, 509.15 and 211.67 is: 292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.05 : 509.15 = 211.67 : x
  2. Step 2: Convert to fraction form
    369.05/509.15 = 211.67/x
  3. Step 3: Cross multiply
    369.05x = 509.15 × 211.67
  4. Step 4: Simplify right side
    369.05x = 107,771.78
  5. Step 5: Solve for x
    x = 107,771.78/369.05
  6. Step 6: Final answer
    x = 292.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.