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Finding the Fourth Proportional to 255.54, 352.40 and 186.06

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Solution

The fourth proportional to 255.54, 352.40 and 186.06 is: 256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.54 : 352.40 = 186.06 : x
  2. Step 2: Convert to fraction form
    255.54/352.40 = 186.06/x
  3. Step 3: Cross multiply
    255.54x = 352.40 × 186.06
  4. Step 4: Simplify right side
    255.54x = 65,567.54
  5. Step 5: Solve for x
    x = 65,567.54/255.54
  6. Step 6: Final answer
    x = 256.58

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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.