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Finding the Fourth Proportional to 195.06, 290.47 and 192.90

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Solution

The fourth proportional to 195.06, 290.47 and 192.90 is: 287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.06 : 290.47 = 192.90 : x
  2. Step 2: Convert to fraction form
    195.06/290.47 = 192.90/x
  3. Step 3: Cross multiply
    195.06x = 290.47 × 192.90
  4. Step 4: Simplify right side
    195.06x = 56,032.27
  5. Step 5: Solve for x
    x = 56,032.27/195.06
  6. Step 6: Final answer
    x = 287.26

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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.