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Finding the Fourth Proportional to 493.19, 739.63 and 164.04

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Solution

The fourth proportional to 493.19, 739.63 and 164.04 is: 246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.19 : 739.63 = 164.04 : x
  2. Step 2: Convert to fraction form
    493.19/739.63 = 164.04/x
  3. Step 3: Cross multiply
    493.19x = 739.63 × 164.04
  4. Step 4: Simplify right side
    493.19x = 121,330.75
  5. Step 5: Solve for x
    x = 121,330.75/493.19
  6. Step 6: Final answer
    x = 246.01

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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.