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Finding the Fourth Proportional to 187.16, 257.73 and 166.52

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Solution

The fourth proportional to 187.16, 257.73 and 166.52 is: 229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.16 : 257.73 = 166.52 : x
  2. Step 2: Convert to fraction form
    187.16/257.73 = 166.52/x
  3. Step 3: Cross multiply
    187.16x = 257.73 × 166.52
  4. Step 4: Simplify right side
    187.16x = 42,917.20
  5. Step 5: Solve for x
    x = 42,917.20/187.16
  6. Step 6: Final answer
    x = 229.31

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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.