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Finding the Fourth Proportional to 319.13, 477.93 and 164.84

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Solution

The fourth proportional to 319.13, 477.93 and 164.84 is: 246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 477.93 = 164.84 : x
  2. Step 2: Convert to fraction form
    319.13/477.93 = 164.84/x
  3. Step 3: Cross multiply
    319.13x = 477.93 × 164.84
  4. Step 4: Simplify right side
    319.13x = 78,781.98
  5. Step 5: Solve for x
    x = 78,781.98/319.13
  6. Step 6: Final answer
    x = 246.86

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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.