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Finding the Fourth Proportional to 186.72, 259.36 and 183.68

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Solution

The fourth proportional to 186.72, 259.36 and 183.68 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.72 : 259.36 = 183.68 : x
  2. Step 2: Convert to fraction form
    186.72/259.36 = 183.68/x
  3. Step 3: Cross multiply
    186.72x = 259.36 × 183.68
  4. Step 4: Simplify right side
    186.72x = 47,639.24
  5. Step 5: Solve for x
    x = 47,639.24/186.72
  6. Step 6: Final answer
    x = 255.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.