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Finding the Fourth Proportional to 186.21, 279.45 and 78.07

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Solution

The fourth proportional to 186.21, 279.45 and 78.07 is: 117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.21 : 279.45 = 78.07 : x
  2. Step 2: Convert to fraction form
    186.21/279.45 = 78.07/x
  3. Step 3: Cross multiply
    186.21x = 279.45 × 78.07
  4. Step 4: Simplify right side
    186.21x = 21,816.66
  5. Step 5: Solve for x
    x = 21,816.66/186.21
  6. Step 6: Final answer
    x = 117.16

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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.