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Finding the Fourth Proportional to 186.90, 279.12 and 156.48

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Solution

The fourth proportional to 186.90, 279.12 and 156.48 is: 233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.90 : 279.12 = 156.48 : x
  2. Step 2: Convert to fraction form
    186.90/279.12 = 156.48/x
  3. Step 3: Cross multiply
    186.90x = 279.12 × 156.48
  4. Step 4: Simplify right side
    186.90x = 43,676.70
  5. Step 5: Solve for x
    x = 43,676.70/186.90
  6. Step 6: Final answer
    x = 233.69

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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.