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Finding the Fourth Proportional to 164.46, 246.45 and 106.65

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Solution

The fourth proportional to 164.46, 246.45 and 106.65 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.46 : 246.45 = 106.65 : x
  2. Step 2: Convert to fraction form
    164.46/246.45 = 106.65/x
  3. Step 3: Cross multiply
    164.46x = 246.45 × 106.65
  4. Step 4: Simplify right side
    164.46x = 26,283.89
  5. Step 5: Solve for x
    x = 26,283.89/164.46
  6. Step 6: Final answer
    x = 159.82

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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.