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Finding the Fourth Proportional to 164.41, 245.33 and 146.20

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Solution

The fourth proportional to 164.41, 245.33 and 146.20 is: 218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.41 : 245.33 = 146.20 : x
  2. Step 2: Convert to fraction form
    164.41/245.33 = 146.20/x
  3. Step 3: Cross multiply
    164.41x = 245.33 × 146.20
  4. Step 4: Simplify right side
    164.41x = 35,867.25
  5. Step 5: Solve for x
    x = 35,867.25/164.41
  6. Step 6: Final answer
    x = 218.16

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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.