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Finding the Fourth Proportional to 186.99, 258.23 and 128.24

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Solution

The fourth proportional to 186.99, 258.23 and 128.24 is: 177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.99 : 258.23 = 128.24 : x
  2. Step 2: Convert to fraction form
    186.99/258.23 = 128.24/x
  3. Step 3: Cross multiply
    186.99x = 258.23 × 128.24
  4. Step 4: Simplify right side
    186.99x = 33,113.48
  5. Step 5: Solve for x
    x = 33,113.48/186.99
  6. Step 6: Final answer
    x = 177.09

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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.