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Finding the Fourth Proportional to 279.14, 384.75 and 191.66

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Solution

The fourth proportional to 279.14, 384.75 and 191.66 is: 264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 384.75 = 191.66 : x
  2. Step 2: Convert to fraction form
    279.14/384.75 = 191.66/x
  3. Step 3: Cross multiply
    279.14x = 384.75 × 191.66
  4. Step 4: Simplify right side
    279.14x = 73,739.26
  5. Step 5: Solve for x
    x = 73,739.26/279.14
  6. Step 6: Final answer
    x = 264.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.