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Finding the Fourth Proportional to 187.05, 256.40 and 186.24

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Solution

The fourth proportional to 187.05, 256.40 and 186.24 is: 255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.05 : 256.40 = 186.24 : x
  2. Step 2: Convert to fraction form
    187.05/256.40 = 186.24/x
  3. Step 3: Cross multiply
    187.05x = 256.40 × 186.24
  4. Step 4: Simplify right side
    187.05x = 47,751.00
  5. Step 5: Solve for x
    x = 47,751.00/187.05
  6. Step 6: Final answer
    x = 255.28

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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.