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Finding the Fourth Proportional to 295.35, 407.60 and 164.40

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Solution

The fourth proportional to 295.35, 407.60 and 164.40 is: 226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.35 : 407.60 = 164.40 : x
  2. Step 2: Convert to fraction form
    295.35/407.60 = 164.40/x
  3. Step 3: Cross multiply
    295.35x = 407.60 × 164.40
  4. Step 4: Simplify right side
    295.35x = 67,008.62
  5. Step 5: Solve for x
    x = 67,008.62/295.35
  6. Step 6: Final answer
    x = 226.88

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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.