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Finding the Fourth Proportional to 295.45, 407.75 and 164.48

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Solution

The fourth proportional to 295.45, 407.75 and 164.48 is: 226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.45 : 407.75 = 164.48 : x
  2. Step 2: Convert to fraction form
    295.45/407.75 = 164.48/x
  3. Step 3: Cross multiply
    295.45x = 407.75 × 164.48
  4. Step 4: Simplify right side
    295.45x = 67,063.86
  5. Step 5: Solve for x
    x = 67,063.86/295.45
  6. Step 6: Final answer
    x = 226.99

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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.