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Finding the Fourth Proportional to 295.22, 407.62 and 190.37

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Solution

The fourth proportional to 295.22, 407.62 and 190.37 is: 262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.22 : 407.62 = 190.37 : x
  2. Step 2: Convert to fraction form
    295.22/407.62 = 190.37/x
  3. Step 3: Cross multiply
    295.22x = 407.62 × 190.37
  4. Step 4: Simplify right side
    295.22x = 77,599.42
  5. Step 5: Solve for x
    x = 77,599.42/295.22
  6. Step 6: Final answer
    x = 262.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.