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Finding the Fourth Proportional to 262.64, 395.35 and 194.60

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Solution

The fourth proportional to 262.64, 395.35 and 194.60 is: 292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 395.35 = 194.60 : x
  2. Step 2: Convert to fraction form
    262.64/395.35 = 194.60/x
  3. Step 3: Cross multiply
    262.64x = 395.35 × 194.60
  4. Step 4: Simplify right side
    262.64x = 76,935.61
  5. Step 5: Solve for x
    x = 76,935.61/262.64
  6. Step 6: Final answer
    x = 292.93

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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.