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Finding the Fourth Proportional to 280.20, 386.10 and 197.40

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Solution

The fourth proportional to 280.20, 386.10 and 197.40 is: 272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.20 : 386.10 = 197.40 : x
  2. Step 2: Convert to fraction form
    280.20/386.10 = 197.40/x
  3. Step 3: Cross multiply
    280.20x = 386.10 × 197.40
  4. Step 4: Simplify right side
    280.20x = 76,216.14
  5. Step 5: Solve for x
    x = 76,216.14/280.20
  6. Step 6: Final answer
    x = 272.01

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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.