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Finding the Fourth Proportional to 164.85, 245.98 and 137.85

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Solution

The fourth proportional to 164.85, 245.98 and 137.85 is: 205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.85 : 245.98 = 137.85 : x
  2. Step 2: Convert to fraction form
    164.85/245.98 = 137.85/x
  3. Step 3: Cross multiply
    164.85x = 245.98 × 137.85
  4. Step 4: Simplify right side
    164.85x = 33,908.34
  5. Step 5: Solve for x
    x = 33,908.34/164.85
  6. Step 6: Final answer
    x = 205.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.