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Finding the Fourth Proportional to 244.66, 367.25 and 164.07

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Solution

The fourth proportional to 244.66, 367.25 and 164.07 is: 246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.66 : 367.25 = 164.07 : x
  2. Step 2: Convert to fraction form
    244.66/367.25 = 164.07/x
  3. Step 3: Cross multiply
    244.66x = 367.25 × 164.07
  4. Step 4: Simplify right side
    244.66x = 60,254.71
  5. Step 5: Solve for x
    x = 60,254.71/244.66
  6. Step 6: Final answer
    x = 246.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.