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Finding the Fourth Proportional to 303.49, 455.22 and 120.78

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Solution

The fourth proportional to 303.49, 455.22 and 120.78 is: 181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.49 : 455.22 = 120.78 : x
  2. Step 2: Convert to fraction form
    303.49/455.22 = 120.78/x
  3. Step 3: Cross multiply
    303.49x = 455.22 × 120.78
  4. Step 4: Simplify right side
    303.49x = 54,981.47
  5. Step 5: Solve for x
    x = 54,981.47/303.49
  6. Step 6: Final answer
    x = 181.16

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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.