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Finding the Fourth Proportional to 307.62, 424.49 and 181.63

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Solution

The fourth proportional to 307.62, 424.49 and 181.63 is: 250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.62 : 424.49 = 181.63 : x
  2. Step 2: Convert to fraction form
    307.62/424.49 = 181.63/x
  3. Step 3: Cross multiply
    307.62x = 424.49 × 181.63
  4. Step 4: Simplify right side
    307.62x = 77,099.21
  5. Step 5: Solve for x
    x = 77,099.21/307.62
  6. Step 6: Final answer
    x = 250.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.