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Finding the Fourth Proportional to 187.18, 256.94 and 183.74

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Solution

The fourth proportional to 187.18, 256.94 and 183.74 is: 252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.18 : 256.94 = 183.74 : x
  2. Step 2: Convert to fraction form
    187.18/256.94 = 183.74/x
  3. Step 3: Cross multiply
    187.18x = 256.94 × 183.74
  4. Step 4: Simplify right side
    187.18x = 47,208.64
  5. Step 5: Solve for x
    x = 47,208.64/187.18
  6. Step 6: Final answer
    x = 252.21

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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.