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Finding the Fourth Proportional to 295.40, 407.66 and 164.40

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Solution

The fourth proportional to 295.40, 407.66 and 164.40 is: 226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.40 : 407.66 = 164.40 : x
  2. Step 2: Convert to fraction form
    295.40/407.66 = 164.40/x
  3. Step 3: Cross multiply
    295.40x = 407.66 × 164.40
  4. Step 4: Simplify right side
    295.40x = 67,019.30
  5. Step 5: Solve for x
    x = 67,019.30/295.40
  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.