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Finding the Fourth Proportional to 279.99, 386.07 and 197.07

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Solution

The fourth proportional to 279.99, 386.07 and 197.07 is: 271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.99 : 386.07 = 197.07 : x
  2. Step 2: Convert to fraction form
    279.99/386.07 = 197.07/x
  3. Step 3: Cross multiply
    279.99x = 386.07 × 197.07
  4. Step 4: Simplify right side
    279.99x = 76,082.81
  5. Step 5: Solve for x
    x = 76,082.81/279.99
  6. Step 6: Final answer
    x = 271.73

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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.