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Finding the Fourth Proportional to 214.02, 321.12 and 149.10

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Solution

The fourth proportional to 214.02, 321.12 and 149.10 is: 223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 321.12 = 149.10 : x
  2. Step 2: Convert to fraction form
    214.02/321.12 = 149.10/x
  3. Step 3: Cross multiply
    214.02x = 321.12 × 149.10
  4. Step 4: Simplify right side
    214.02x = 47,878.99
  5. Step 5: Solve for x
    x = 47,878.99/214.02
  6. Step 6: Final answer
    x = 223.71

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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.