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Finding the Fourth Proportional to 280.59, 386.94 and 218.31

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Solution

The fourth proportional to 280.59, 386.94 and 218.31 is: 301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.59 : 386.94 = 218.31 : x
  2. Step 2: Convert to fraction form
    280.59/386.94 = 218.31/x
  3. Step 3: Cross multiply
    280.59x = 386.94 × 218.31
  4. Step 4: Simplify right side
    280.59x = 84,472.87
  5. Step 5: Solve for x
    x = 84,472.87/280.59
  6. Step 6: Final answer
    x = 301.05

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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.