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Finding the Fourth Proportional to 186.78, 257.13 and 162.08

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Solution

The fourth proportional to 186.78, 257.13 and 162.08 is: 223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 257.13 = 162.08 : x
  2. Step 2: Convert to fraction form
    186.78/257.13 = 162.08/x
  3. Step 3: Cross multiply
    186.78x = 257.13 × 162.08
  4. Step 4: Simplify right side
    186.78x = 41,675.63
  5. Step 5: Solve for x
    x = 41,675.63/186.78
  6. Step 6: Final answer
    x = 223.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.