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Finding the Fourth Proportional to 164.04, 245.55 and 106.19

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Solution

The fourth proportional to 164.04, 245.55 and 106.19 is: 158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.04 : 245.55 = 106.19 : x
  2. Step 2: Convert to fraction form
    164.04/245.55 = 106.19/x
  3. Step 3: Cross multiply
    164.04x = 245.55 × 106.19
  4. Step 4: Simplify right side
    164.04x = 26,074.95
  5. Step 5: Solve for x
    x = 26,074.95/164.04
  6. Step 6: Final answer
    x = 158.95

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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.