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Finding the Fourth Proportional to 369.03, 509.15 and 219.59

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Solution

The fourth proportional to 369.03, 509.15 and 219.59 is: 302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.03 : 509.15 = 219.59 : x
  2. Step 2: Convert to fraction form
    369.03/509.15 = 219.59/x
  3. Step 3: Cross multiply
    369.03x = 509.15 × 219.59
  4. Step 4: Simplify right side
    369.03x = 111,804.16
  5. Step 5: Solve for x
    x = 111,804.16/369.03
  6. Step 6: Final answer
    x = 302.96

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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.