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Finding the Fourth Proportional to 369.42, 509.67 and 221.94

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Solution

The fourth proportional to 369.42, 509.67 and 221.94 is: 306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.42 : 509.67 = 221.94 : x
  2. Step 2: Convert to fraction form
    369.42/509.67 = 221.94/x
  3. Step 3: Cross multiply
    369.42x = 509.67 × 221.94
  4. Step 4: Simplify right side
    369.42x = 113,116.16
  5. Step 5: Solve for x
    x = 113,116.16/369.42
  6. Step 6: Final answer
    x = 306.20

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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.