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Finding the Fourth Proportional to 185.84, 279.79 and 164.30

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Solution

The fourth proportional to 185.84, 279.79 and 164.30 is: 247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.84 : 279.79 = 164.30 : x
  2. Step 2: Convert to fraction form
    185.84/279.79 = 164.30/x
  3. Step 3: Cross multiply
    185.84x = 279.79 × 164.30
  4. Step 4: Simplify right side
    185.84x = 45,967.69
  5. Step 5: Solve for x
    x = 45,967.69/185.84
  6. Step 6: Final answer
    x = 247.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.