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Finding the Fourth Proportional to 164.20, 245.80 and 116.08

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Solution

The fourth proportional to 164.20, 245.80 and 116.08 is: 173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.20 : 245.80 = 116.08 : x
  2. Step 2: Convert to fraction form
    164.20/245.80 = 116.08/x
  3. Step 3: Cross multiply
    164.20x = 245.80 × 116.08
  4. Step 4: Simplify right side
    164.20x = 28,532.46
  5. Step 5: Solve for x
    x = 28,532.46/164.20
  6. Step 6: Final answer
    x = 173.77

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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.