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Finding the Fourth Proportional to 195.84, 295.47 and 195.30

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Solution

The fourth proportional to 195.84, 295.47 and 195.30 is: 294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.84 : 295.47 = 195.30 : x
  2. Step 2: Convert to fraction form
    195.84/295.47 = 195.30/x
  3. Step 3: Cross multiply
    195.84x = 295.47 × 195.30
  4. Step 4: Simplify right side
    195.84x = 57,705.29
  5. Step 5: Solve for x
    x = 57,705.29/195.84
  6. Step 6: Final answer
    x = 294.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.