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Finding the Fourth Proportional to 195.62, 292.07 and 193.67

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Solution

The fourth proportional to 195.62, 292.07 and 193.67 is: 289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.62 : 292.07 = 193.67 : x
  2. Step 2: Convert to fraction form
    195.62/292.07 = 193.67/x
  3. Step 3: Cross multiply
    195.62x = 292.07 × 193.67
  4. Step 4: Simplify right side
    195.62x = 56,562.77
  5. Step 5: Solve for x
    x = 56,562.77/195.62
  6. Step 6: Final answer
    x = 289.15

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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.