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Finding the Fourth Proportional to 187.39, 257.60 and 167.77

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Solution

The fourth proportional to 187.39, 257.60 and 167.77 is: 230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.39 : 257.60 = 167.77 : x
  2. Step 2: Convert to fraction form
    187.39/257.60 = 167.77/x
  3. Step 3: Cross multiply
    187.39x = 257.60 × 167.77
  4. Step 4: Simplify right side
    187.39x = 43,217.55
  5. Step 5: Solve for x
    x = 43,217.55/187.39
  6. Step 6: Final answer
    x = 230.63

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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.