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Finding the Fourth Proportional to 164.90, 238.19 and 164.90

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Solution

The fourth proportional to 164.90, 238.19 and 164.90 is: 238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.90 : 238.19 = 164.90 : x
  2. Step 2: Convert to fraction form
    164.90/238.19 = 164.90/x
  3. Step 3: Cross multiply
    164.90x = 238.19 × 164.90
  4. Step 4: Simplify right side
    164.90x = 39,276.71
  5. Step 5: Solve for x
    x = 39,276.71/164.90
  6. Step 6: Final answer
    x = 238.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.