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Finding the Fourth Proportional to 164.84, 246.78 and 128.80

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Solution

The fourth proportional to 164.84, 246.78 and 128.80 is: 192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.84 : 246.78 = 128.80 : x
  2. Step 2: Convert to fraction form
    164.84/246.78 = 128.80/x
  3. Step 3: Cross multiply
    164.84x = 246.78 × 128.80
  4. Step 4: Simplify right side
    164.84x = 31,785.26
  5. Step 5: Solve for x
    x = 31,785.26/164.84
  6. Step 6: Final answer
    x = 192.82

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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.