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Finding the Fourth Proportional to 301, 451.19 and 164.01

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Solution

The fourth proportional to 301, 451.19 and 164.01 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 451.19 = 164.01 : x
  2. Step 2: Convert to fraction form
    301/451.19 = 164.01/x
  3. Step 3: Cross multiply
    301x = 451.19 × 164.01
  4. Step 4: Simplify right side
    301x = 73,999.67
  5. Step 5: Solve for x
    x = 73,999.67/301
  6. Step 6: Final answer
    x = 245.85

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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.