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Finding the Fourth Proportional to 187.75, 259.64 and 179.16

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Solution

The fourth proportional to 187.75, 259.64 and 179.16 is: 247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.75 : 259.64 = 179.16 : x
  2. Step 2: Convert to fraction form
    187.75/259.64 = 179.16/x
  3. Step 3: Cross multiply
    187.75x = 259.64 × 179.16
  4. Step 4: Simplify right side
    187.75x = 46,514.91
  5. Step 5: Solve for x
    x = 46,514.91/187.75
  6. Step 6: Final answer
    x = 247.75

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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.