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Finding the Fourth Proportional to 234.60, 349.98 and 218.02

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Solution

The fourth proportional to 234.60, 349.98 and 218.02 is: 325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.60 : 349.98 = 218.02 : x
  2. Step 2: Convert to fraction form
    234.60/349.98 = 218.02/x
  3. Step 3: Cross multiply
    234.60x = 349.98 × 218.02
  4. Step 4: Simplify right side
    234.60x = 76,302.64
  5. Step 5: Solve for x
    x = 76,302.64/234.60
  6. Step 6: Final answer
    x = 325.25

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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.