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Finding the Fourth Proportional to 143.35, 197.67 and 110.53

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Solution

The fourth proportional to 143.35, 197.67 and 110.53 is: 152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.35 : 197.67 = 110.53 : x
  2. Step 2: Convert to fraction form
    143.35/197.67 = 110.53/x
  3. Step 3: Cross multiply
    143.35x = 197.67 × 110.53
  4. Step 4: Simplify right side
    143.35x = 21,848.47
  5. Step 5: Solve for x
    x = 21,848.47/143.35
  6. Step 6: Final answer
    x = 152.41

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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.