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Finding the Fourth Proportional to 166.16, 230.24 and 162.38

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Solution

The fourth proportional to 166.16, 230.24 and 162.38 is: 225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.16 : 230.24 = 162.38 : x
  2. Step 2: Convert to fraction form
    166.16/230.24 = 162.38/x
  3. Step 3: Cross multiply
    166.16x = 230.24 × 162.38
  4. Step 4: Simplify right side
    166.16x = 37,386.37
  5. Step 5: Solve for x
    x = 37,386.37/166.16
  6. Step 6: Final answer
    x = 225.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.