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Finding the Fourth Proportional to 307.77, 460.99 and 192.24

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Solution

The fourth proportional to 307.77, 460.99 and 192.24 is: 287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.77 : 460.99 = 192.24 : x
  2. Step 2: Convert to fraction form
    307.77/460.99 = 192.24/x
  3. Step 3: Cross multiply
    307.77x = 460.99 × 192.24
  4. Step 4: Simplify right side
    307.77x = 88,620.72
  5. Step 5: Solve for x
    x = 88,620.72/307.77
  6. Step 6: Final answer
    x = 287.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.