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Finding the Fourth Proportional to 280.19, 386.17 and 218.23

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Solution

The fourth proportional to 280.19, 386.17 and 218.23 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.19 : 386.17 = 218.23 : x
  2. Step 2: Convert to fraction form
    280.19/386.17 = 218.23/x
  3. Step 3: Cross multiply
    280.19x = 386.17 × 218.23
  4. Step 4: Simplify right side
    280.19x = 84,272.37
  5. Step 5: Solve for x
    x = 84,272.37/280.19
  6. Step 6: Final answer
    x = 300.77

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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.