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Finding the Fourth Proportional to 186.50, 279.75 and 125.60

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Solution

The fourth proportional to 186.50, 279.75 and 125.60 is: 188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 279.75 = 125.60 : x
  2. Step 2: Convert to fraction form
    186.50/279.75 = 125.60/x
  3. Step 3: Cross multiply
    186.50x = 279.75 × 125.60
  4. Step 4: Simplify right side
    186.50x = 35,136.60
  5. Step 5: Solve for x
    x = 35,136.60/186.50
  6. Step 6: Final answer
    x = 188.40

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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.