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Finding the Fourth Proportional to 309.57, 427.16 and 199.06

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Solution

The fourth proportional to 309.57, 427.16 and 199.06 is: 274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.57 : 427.16 = 199.06 : x
  2. Step 2: Convert to fraction form
    309.57/427.16 = 199.06/x
  3. Step 3: Cross multiply
    309.57x = 427.16 × 199.06
  4. Step 4: Simplify right side
    309.57x = 85,030.47
  5. Step 5: Solve for x
    x = 85,030.47/309.57
  6. Step 6: Final answer
    x = 274.67

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Why These Related Problems?

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