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Finding the Fourth Proportional to 187.20, 259.54 and 182.88

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Solution

The fourth proportional to 187.20, 259.54 and 182.88 is: 253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.20 : 259.54 = 182.88 : x
  2. Step 2: Convert to fraction form
    187.20/259.54 = 182.88/x
  3. Step 3: Cross multiply
    187.20x = 259.54 × 182.88
  4. Step 4: Simplify right side
    187.20x = 47,464.68
  5. Step 5: Solve for x
    x = 47,464.68/187.20
  6. Step 6: Final answer
    x = 253.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.