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Finding the Fourth Proportional to 330.51, 455.90 and 199.49

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Solution

The fourth proportional to 330.51, 455.90 and 199.49 is: 275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.51 : 455.90 = 199.49 : x
  2. Step 2: Convert to fraction form
    330.51/455.90 = 199.49/x
  3. Step 3: Cross multiply
    330.51x = 455.90 × 199.49
  4. Step 4: Simplify right side
    330.51x = 90,944.21
  5. Step 5: Solve for x
    x = 90,944.21/330.51
  6. Step 6: Final answer
    x = 275.16

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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.