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Finding the Fourth Proportional to 186.45, 278.57 and 180.07

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Solution

The fourth proportional to 186.45, 278.57 and 180.07 is: 269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.45 : 278.57 = 180.07 : x
  2. Step 2: Convert to fraction form
    186.45/278.57 = 180.07/x
  3. Step 3: Cross multiply
    186.45x = 278.57 × 180.07
  4. Step 4: Simplify right side
    186.45x = 50,162.10
  5. Step 5: Solve for x
    x = 50,162.10/186.45
  6. Step 6: Final answer
    x = 269.04

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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.