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Finding the Fourth Proportional to 222.40, 332.18 and 190

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Solution

The fourth proportional to 222.40, 332.18 and 190 is: 283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.40 : 332.18 = 190 : x
  2. Step 2: Convert to fraction form
    222.40/332.18 = 190/x
  3. Step 3: Cross multiply
    222.40x = 332.18 × 190
  4. Step 4: Simplify right side
    222.40x = 63,114.20
  5. Step 5: Solve for x
    x = 63,114.20/222.40
  6. Step 6: Final answer
    x = 283.79

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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.