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Finding the Fourth Proportional to 222.16, 332.88 and 130.94

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Solution

The fourth proportional to 222.16, 332.88 and 130.94 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.16 : 332.88 = 130.94 : x
  2. Step 2: Convert to fraction form
    222.16/332.88 = 130.94/x
  3. Step 3: Cross multiply
    222.16x = 332.88 × 130.94
  4. Step 4: Simplify right side
    222.16x = 43,587.31
  5. Step 5: Solve for x
    x = 43,587.31/222.16
  6. Step 6: Final answer
    x = 196.20

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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.