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Finding the Fourth Proportional to 187.94, 283.59 and 180.45

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Solution

The fourth proportional to 187.94, 283.59 and 180.45 is: 272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.94 : 283.59 = 180.45 : x
  2. Step 2: Convert to fraction form
    187.94/283.59 = 180.45/x
  3. Step 3: Cross multiply
    187.94x = 283.59 × 180.45
  4. Step 4: Simplify right side
    187.94x = 51,173.82
  5. Step 5: Solve for x
    x = 51,173.82/187.94
  6. Step 6: Final answer
    x = 272.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.