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Finding the Fourth Proportional to 186.35, 277.76 and 180.45

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Solution

The fourth proportional to 186.35, 277.76 and 180.45 is: 268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.35 : 277.76 = 180.45 : x
  2. Step 2: Convert to fraction form
    186.35/277.76 = 180.45/x
  3. Step 3: Cross multiply
    186.35x = 277.76 × 180.45
  4. Step 4: Simplify right side
    186.35x = 50,122.24
  5. Step 5: Solve for x
    x = 50,122.24/186.35
  6. Step 6: Final answer
    x = 268.98

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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.