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Finding the Fourth Proportional to 186.26, 278.14 and 152.09

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Solution

The fourth proportional to 186.26, 278.14 and 152.09 is: 227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.26 : 278.14 = 152.09 : x
  2. Step 2: Convert to fraction form
    186.26/278.14 = 152.09/x
  3. Step 3: Cross multiply
    186.26x = 278.14 × 152.09
  4. Step 4: Simplify right side
    186.26x = 42,302.87
  5. Step 5: Solve for x
    x = 42,302.87/186.26
  6. Step 6: Final answer
    x = 227.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.