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Finding the Fourth Proportional to 262.52, 395.30 and 194.51

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Solution

The fourth proportional to 262.52, 395.30 and 194.51 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.52 : 395.30 = 194.51 : x
  2. Step 2: Convert to fraction form
    262.52/395.30 = 194.51/x
  3. Step 3: Cross multiply
    262.52x = 395.30 × 194.51
  4. Step 4: Simplify right side
    262.52x = 76,886.85
  5. Step 5: Solve for x
    x = 76,886.85/262.52
  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.