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Finding the Fourth Proportional to 186.07, 277.58 and 166.48

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Solution

The fourth proportional to 186.07, 277.58 and 166.48 is: 248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.07 : 277.58 = 166.48 : x
  2. Step 2: Convert to fraction form
    186.07/277.58 = 166.48/x
  3. Step 3: Cross multiply
    186.07x = 277.58 × 166.48
  4. Step 4: Simplify right side
    186.07x = 46,211.52
  5. Step 5: Solve for x
    x = 46,211.52/186.07
  6. Step 6: Final answer
    x = 248.36

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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.