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Finding the Fourth Proportional to 186.61, 278.51 and 181.75

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Solution

The fourth proportional to 186.61, 278.51 and 181.75 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.61 : 278.51 = 181.75 : x
  2. Step 2: Convert to fraction form
    186.61/278.51 = 181.75/x
  3. Step 3: Cross multiply
    186.61x = 278.51 × 181.75
  4. Step 4: Simplify right side
    186.61x = 50,619.28
  5. Step 5: Solve for x
    x = 50,619.28/186.61
  6. Step 6: Final answer
    x = 271.25

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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.