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Finding the Fourth Proportional to 307.28, 423.98 and 174.44

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Solution

The fourth proportional to 307.28, 423.98 and 174.44 is: 240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.28 : 423.98 = 174.44 : x
  2. Step 2: Convert to fraction form
    307.28/423.98 = 174.44/x
  3. Step 3: Cross multiply
    307.28x = 423.98 × 174.44
  4. Step 4: Simplify right side
    307.28x = 73,956.08
  5. Step 5: Solve for x
    x = 73,956.08/307.28
  6. Step 6: Final answer
    x = 240.68

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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.