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Finding the Fourth Proportional to 164.23, 245.09 and 146.00

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Solution

The fourth proportional to 164.23, 245.09 and 146.00 is: 217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.23 : 245.09 = 146.00 : x
  2. Step 2: Convert to fraction form
    164.23/245.09 = 146.00/x
  3. Step 3: Cross multiply
    164.23x = 245.09 × 146.00
  4. Step 4: Simplify right side
    164.23x = 35,784.12
  5. Step 5: Solve for x
    x = 35,784.12/164.23
  6. Step 6: Final answer
    x = 217.89

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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.