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Finding the Fourth Proportional to 188, 258.63 and 166.13

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Solution

The fourth proportional to 188, 258.63 and 166.13 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188 : 258.63 = 166.13 : x
  2. Step 2: Convert to fraction form
    188/258.63 = 166.13/x
  3. Step 3: Cross multiply
    188x = 258.63 × 166.13
  4. Step 4: Simplify right side
    188x = 42,966.20
  5. Step 5: Solve for x
    x = 42,966.20/188
  6. Step 6: Final answer
    x = 228.54

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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.