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Finding the Fourth Proportional to 187.39, 259.09 and 184.63

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Solution

The fourth proportional to 187.39, 259.09 and 184.63 is: 255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.39 : 259.09 = 184.63 : x
  2. Step 2: Convert to fraction form
    187.39/259.09 = 184.63/x
  3. Step 3: Cross multiply
    187.39x = 259.09 × 184.63
  4. Step 4: Simplify right side
    187.39x = 47,835.79
  5. Step 5: Solve for x
    x = 47,835.79/187.39
  6. Step 6: Final answer
    x = 255.27

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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.