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Finding the Fourth Proportional to 307.42, 423.66 and 219.94

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Solution

The fourth proportional to 307.42, 423.66 and 219.94 is: 303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.42 : 423.66 = 219.94 : x
  2. Step 2: Convert to fraction form
    307.42/423.66 = 219.94/x
  3. Step 3: Cross multiply
    307.42x = 423.66 × 219.94
  4. Step 4: Simplify right side
    307.42x = 93,178.68
  5. Step 5: Solve for x
    x = 93,178.68/307.42
  6. Step 6: Final answer
    x = 303.10

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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.