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Finding the Fourth Proportional to 145.21, 218.12 and 110.85

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Solution

The fourth proportional to 145.21, 218.12 and 110.85 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.21 : 218.12 = 110.85 : x
  2. Step 2: Convert to fraction form
    145.21/218.12 = 110.85/x
  3. Step 3: Cross multiply
    145.21x = 218.12 × 110.85
  4. Step 4: Simplify right side
    145.21x = 24,178.05
  5. Step 5: Solve for x
    x = 24,178.05/145.21
  6. Step 6: Final answer
    x = 166.51

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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.