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Finding the Fourth Proportional to 195.16, 269.17 and 139.93

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Solution

The fourth proportional to 195.16, 269.17 and 139.93 is: 192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.16 : 269.17 = 139.93 : x
  2. Step 2: Convert to fraction form
    195.16/269.17 = 139.93/x
  3. Step 3: Cross multiply
    195.16x = 269.17 × 139.93
  4. Step 4: Simplify right side
    195.16x = 37,664.72
  5. Step 5: Solve for x
    x = 37,664.72/195.16
  6. Step 6: Final answer
    x = 192.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.