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Finding the Fourth Proportional to 218.08, 324.98 and 202.60

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Solution

The fourth proportional to 218.08, 324.98 and 202.60 is: 301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.08 : 324.98 = 202.60 : x
  2. Step 2: Convert to fraction form
    218.08/324.98 = 202.60/x
  3. Step 3: Cross multiply
    218.08x = 324.98 × 202.60
  4. Step 4: Simplify right side
    218.08x = 65,840.95
  5. Step 5: Solve for x
    x = 65,840.95/218.08
  6. Step 6: Final answer
    x = 301.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.