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Finding the Fourth Proportional to 195.00, 291.00 and 174.20

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Solution

The fourth proportional to 195.00, 291.00 and 174.20 is: 259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.00 : 291.00 = 174.20 : x
  2. Step 2: Convert to fraction form
    195.00/291.00 = 174.20/x
  3. Step 3: Cross multiply
    195.00x = 291.00 × 174.20
  4. Step 4: Simplify right side
    195.00x = 50,691.20
  5. Step 5: Solve for x
    x = 50,691.20/195.00
  6. Step 6: Final answer
    x = 259.96

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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.