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Finding the Fourth Proportional to 187.39, 257.74 and 179.83

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Solution

The fourth proportional to 187.39, 257.74 and 179.83 is: 247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.39 : 257.74 = 179.83 : x
  2. Step 2: Convert to fraction form
    187.39/257.74 = 179.83/x
  3. Step 3: Cross multiply
    187.39x = 257.74 × 179.83
  4. Step 4: Simplify right side
    187.39x = 46,349.38
  5. Step 5: Solve for x
    x = 46,349.38/187.39
  6. Step 6: Final answer
    x = 247.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.