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Finding the Fourth Proportional to 186.31, 278.90 and 153.67

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Solution

The fourth proportional to 186.31, 278.90 and 153.67 is: 230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.31 : 278.90 = 153.67 : x
  2. Step 2: Convert to fraction form
    186.31/278.90 = 153.67/x
  3. Step 3: Cross multiply
    186.31x = 278.90 × 153.67
  4. Step 4: Simplify right side
    186.31x = 42,858.56
  5. Step 5: Solve for x
    x = 42,858.56/186.31
  6. Step 6: Final answer
    x = 230.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.