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Finding the Fourth Proportional to 102.21, 140.88 and 98.25

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Solution

The fourth proportional to 102.21, 140.88 and 98.25 is: 135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.21 : 140.88 = 98.25 : x
  2. Step 2: Convert to fraction form
    102.21/140.88 = 98.25/x
  3. Step 3: Cross multiply
    102.21x = 140.88 × 98.25
  4. Step 4: Simplify right side
    102.21x = 13,841.46
  5. Step 5: Solve for x
    x = 13,841.46/102.21
  6. Step 6: Final answer
    x = 135.42

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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.