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Finding the Fourth Proportional to 307.37, 424.09 and 219.89

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Solution

The fourth proportional to 307.37, 424.09 and 219.89 is: 303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.37 : 424.09 = 219.89 : x
  2. Step 2: Convert to fraction form
    307.37/424.09 = 219.89/x
  3. Step 3: Cross multiply
    307.37x = 424.09 × 219.89
  4. Step 4: Simplify right side
    307.37x = 93,253.15
  5. Step 5: Solve for x
    x = 93,253.15/307.37
  6. Step 6: Final answer
    x = 303.39

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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.