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Finding the Fourth Proportional to 195.73, 291.65 and 174.19

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Solution

The fourth proportional to 195.73, 291.65 and 174.19 is: 259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.73 : 291.65 = 174.19 : x
  2. Step 2: Convert to fraction form
    195.73/291.65 = 174.19/x
  3. Step 3: Cross multiply
    195.73x = 291.65 × 174.19
  4. Step 4: Simplify right side
    195.73x = 50,802.51
  5. Step 5: Solve for x
    x = 50,802.51/195.73
  6. Step 6: Final answer
    x = 259.55

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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.