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Finding the Fourth Proportional to 145.37, 217.73 and 112.77

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Solution

The fourth proportional to 145.37, 217.73 and 112.77 is: 168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.37 : 217.73 = 112.77 : x
  2. Step 2: Convert to fraction form
    145.37/217.73 = 112.77/x
  3. Step 3: Cross multiply
    145.37x = 217.73 × 112.77
  4. Step 4: Simplify right side
    145.37x = 24,552.85
  5. Step 5: Solve for x
    x = 24,552.85/145.37
  6. Step 6: Final answer
    x = 168.90

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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.