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Finding the Fourth Proportional to 222.83, 332.60 and 214.12

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Solution

The fourth proportional to 222.83, 332.60 and 214.12 is: 319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.83 : 332.60 = 214.12 : x
  2. Step 2: Convert to fraction form
    222.83/332.60 = 214.12/x
  3. Step 3: Cross multiply
    222.83x = 332.60 × 214.12
  4. Step 4: Simplify right side
    222.83x = 71,216.31
  5. Step 5: Solve for x
    x = 71,216.31/222.83
  6. Step 6: Final answer
    x = 319.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.