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Finding the Fourth Proportional to 259.64, 357.78 and 218.12

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Solution

The fourth proportional to 259.64, 357.78 and 218.12 is: 300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.64 : 357.78 = 218.12 : x
  2. Step 2: Convert to fraction form
    259.64/357.78 = 218.12/x
  3. Step 3: Cross multiply
    259.64x = 357.78 × 218.12
  4. Step 4: Simplify right side
    259.64x = 78,038.97
  5. Step 5: Solve for x
    x = 78,038.97/259.64
  6. Step 6: Final answer
    x = 300.57

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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.