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Finding the Fourth Proportional to 307.22, 424.05 and 182.84

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Solution

The fourth proportional to 307.22, 424.05 and 182.84 is: 252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.22 : 424.05 = 182.84 : x
  2. Step 2: Convert to fraction form
    307.22/424.05 = 182.84/x
  3. Step 3: Cross multiply
    307.22x = 424.05 × 182.84
  4. Step 4: Simplify right side
    307.22x = 77,533.30
  5. Step 5: Solve for x
    x = 77,533.30/307.22
  6. Step 6: Final answer
    x = 252.37

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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.