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Finding the Fourth Proportional to 143.30, 197.75 and 101.35

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Solution

The fourth proportional to 143.30, 197.75 and 101.35 is: 139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.30 : 197.75 = 101.35 : x
  2. Step 2: Convert to fraction form
    143.30/197.75 = 101.35/x
  3. Step 3: Cross multiply
    143.30x = 197.75 × 101.35
  4. Step 4: Simplify right side
    143.30x = 20,041.96
  5. Step 5: Solve for x
    x = 20,041.96/143.30
  6. Step 6: Final answer
    x = 139.86

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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.