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Finding the Fourth Proportional to 186.44, 278.46 and 145.42

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Solution

The fourth proportional to 186.44, 278.46 and 145.42 is: 217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.44 : 278.46 = 145.42 : x
  2. Step 2: Convert to fraction form
    186.44/278.46 = 145.42/x
  3. Step 3: Cross multiply
    186.44x = 278.46 × 145.42
  4. Step 4: Simplify right side
    186.44x = 40,492.96
  5. Step 5: Solve for x
    x = 40,492.96/186.44
  6. Step 6: Final answer
    x = 217.20

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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.