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Finding the Fourth Proportional to 145.41, 217.73 and 119.44

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Solution

The fourth proportional to 145.41, 217.73 and 119.44 is: 178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.41 : 217.73 = 119.44 : x
  2. Step 2: Convert to fraction form
    145.41/217.73 = 119.44/x
  3. Step 3: Cross multiply
    145.41x = 217.73 × 119.44
  4. Step 4: Simplify right side
    145.41x = 26,005.67
  5. Step 5: Solve for x
    x = 26,005.67/145.41
  6. Step 6: Final answer
    x = 178.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.