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Finding the Fourth Proportional to 255, 352.02 and 186.12

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Solution

The fourth proportional to 255, 352.02 and 186.12 is: 256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255 : 352.02 = 186.12 : x
  2. Step 2: Convert to fraction form
    255/352.02 = 186.12/x
  3. Step 3: Cross multiply
    255x = 352.02 × 186.12
  4. Step 4: Simplify right side
    255x = 65,517.96
  5. Step 5: Solve for x
    x = 65,517.96/255
  6. Step 6: Final answer
    x = 256.93

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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.