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Finding the Fourth Proportional to 309.77, 427.28 and 199.07

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Solution

The fourth proportional to 309.77, 427.28 and 199.07 is: 274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.77 : 427.28 = 199.07 : x
  2. Step 2: Convert to fraction form
    309.77/427.28 = 199.07/x
  3. Step 3: Cross multiply
    309.77x = 427.28 × 199.07
  4. Step 4: Simplify right side
    309.77x = 85,055.50
  5. Step 5: Solve for x
    x = 85,055.50/309.77
  6. Step 6: Final answer
    x = 274.58

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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.