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Finding the Fourth Proportional to 195.84, 289.68 and 195.84

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Solution

The fourth proportional to 195.84, 289.68 and 195.84 is: 289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.84 : 289.68 = 195.84 : x
  2. Step 2: Convert to fraction form
    195.84/289.68 = 195.84/x
  3. Step 3: Cross multiply
    195.84x = 289.68 × 195.84
  4. Step 4: Simplify right side
    195.84x = 56,730.93
  5. Step 5: Solve for x
    x = 56,730.93/195.84
  6. Step 6: Final answer
    x = 289.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.