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Finding the Fourth Proportional to 143.25, 197.50 and 99.57

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Solution

The fourth proportional to 143.25, 197.50 and 99.57 is: 137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.25 : 197.50 = 99.57 : x
  2. Step 2: Convert to fraction form
    143.25/197.50 = 99.57/x
  3. Step 3: Cross multiply
    143.25x = 197.50 × 99.57
  4. Step 4: Simplify right side
    143.25x = 19,665.08
  5. Step 5: Solve for x
    x = 19,665.08/143.25
  6. Step 6: Final answer
    x = 137.28

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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.