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Finding the Fourth Proportional to 262.50, 395.28 and 194.51

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Solution

The fourth proportional to 262.50, 395.28 and 194.51 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 395.28 = 194.51 : x
  2. Step 2: Convert to fraction form
    262.50/395.28 = 194.51/x
  3. Step 3: Cross multiply
    262.50x = 395.28 × 194.51
  4. Step 4: Simplify right side
    262.50x = 76,883.94
  5. Step 5: Solve for x
    x = 76,883.94/262.50
  6. Step 6: Final answer
    x = 292.89

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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.