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Finding the Fourth Proportional to 186.24, 255.48 and 175.20

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Solution

The fourth proportional to 186.24, 255.48 and 175.20 is: 240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 255.48 = 175.20 : x
  2. Step 2: Convert to fraction form
    186.24/255.48 = 175.20/x
  3. Step 3: Cross multiply
    186.24x = 255.48 × 175.20
  4. Step 4: Simplify right side
    186.24x = 44,760.10
  5. Step 5: Solve for x
    x = 44,760.10/186.24
  6. Step 6: Final answer
    x = 240.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.