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Finding the Fourth Proportional to 103.02, 141.25 and 97.80

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Solution

The fourth proportional to 103.02, 141.25 and 97.80 is: 134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 141.25 = 97.80 : x
  2. Step 2: Convert to fraction form
    103.02/141.25 = 97.80/x
  3. Step 3: Cross multiply
    103.02x = 141.25 × 97.80
  4. Step 4: Simplify right side
    103.02x = 13,813.05
  5. Step 5: Solve for x
    x = 13,813.05/103.02
  6. Step 6: Final answer
    x = 134.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.