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Finding the Fourth Proportional to 280.21, 386.14 and 218.02

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Solution

The fourth proportional to 280.21, 386.14 and 218.02 is: 300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.21 : 386.14 = 218.02 : x
  2. Step 2: Convert to fraction form
    280.21/386.14 = 218.02/x
  3. Step 3: Cross multiply
    280.21x = 386.14 × 218.02
  4. Step 4: Simplify right side
    280.21x = 84,185.39
  5. Step 5: Solve for x
    x = 84,185.39/280.21
  6. Step 6: Final answer
    x = 300.44

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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.