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Finding the Fourth Proportional to 143.15, 197.15 and 123.44

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Solution

The fourth proportional to 143.15, 197.15 and 123.44 is: 170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.15 : 197.15 = 123.44 : x
  2. Step 2: Convert to fraction form
    143.15/197.15 = 123.44/x
  3. Step 3: Cross multiply
    143.15x = 197.15 × 123.44
  4. Step 4: Simplify right side
    143.15x = 24,334.59
  5. Step 5: Solve for x
    x = 24,334.59/143.15
  6. Step 6: Final answer
    x = 170.00

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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.