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Finding the Fourth Proportional to 186.33, 279.26 and 117.70

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Solution

The fourth proportional to 186.33, 279.26 and 117.70 is: 176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.33 : 279.26 = 117.70 : x
  2. Step 2: Convert to fraction form
    186.33/279.26 = 117.70/x
  3. Step 3: Cross multiply
    186.33x = 279.26 × 117.70
  4. Step 4: Simplify right side
    186.33x = 32,868.90
  5. Step 5: Solve for x
    x = 32,868.90/186.33
  6. Step 6: Final answer
    x = 176.40

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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.