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Finding the Fourth Proportional to 187.30, 256.25 and 186.49

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Solution

The fourth proportional to 187.30, 256.25 and 186.49 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.30 : 256.25 = 186.49 : x
  2. Step 2: Convert to fraction form
    187.30/256.25 = 186.49/x
  3. Step 3: Cross multiply
    187.30x = 256.25 × 186.49
  4. Step 4: Simplify right side
    187.30x = 47,788.06
  5. Step 5: Solve for x
    x = 47,788.06/187.30
  6. Step 6: Final answer
    x = 255.14

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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.