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Finding the Fourth Proportional to 145.89, 201.69 and 116.73

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Solution

The fourth proportional to 145.89, 201.69 and 116.73 is: 161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.89 : 201.69 = 116.73 : x
  2. Step 2: Convert to fraction form
    145.89/201.69 = 116.73/x
  3. Step 3: Cross multiply
    145.89x = 201.69 × 116.73
  4. Step 4: Simplify right side
    145.89x = 23,543.27
  5. Step 5: Solve for x
    x = 23,543.27/145.89
  6. Step 6: Final answer
    x = 161.38

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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.