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Finding the Fourth Proportional to 295.22, 407.58 and 190.34

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Solution

The fourth proportional to 295.22, 407.58 and 190.34 is: 262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.22 : 407.58 = 190.34 : x
  2. Step 2: Convert to fraction form
    295.22/407.58 = 190.34/x
  3. Step 3: Cross multiply
    295.22x = 407.58 × 190.34
  4. Step 4: Simplify right side
    295.22x = 77,578.78
  5. Step 5: Solve for x
    x = 77,578.78/295.22
  6. Step 6: Final answer
    x = 262.78

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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.