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Finding the Fourth Proportional to 280.07, 386.62 and 218.07

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Solution

The fourth proportional to 280.07, 386.62 and 218.07 is: 301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.07 : 386.62 = 218.07 : x
  2. Step 2: Convert to fraction form
    280.07/386.62 = 218.07/x
  3. Step 3: Cross multiply
    280.07x = 386.62 × 218.07
  4. Step 4: Simplify right side
    280.07x = 84,310.10
  5. Step 5: Solve for x
    x = 84,310.10/280.07
  6. Step 6: Final answer
    x = 301.03

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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.