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Finding the Fourth Proportional to 216.06, 297.50 and 166.32

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Solution

The fourth proportional to 216.06, 297.50 and 166.32 is: 229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.06 : 297.50 = 166.32 : x
  2. Step 2: Convert to fraction form
    216.06/297.50 = 166.32/x
  3. Step 3: Cross multiply
    216.06x = 297.50 × 166.32
  4. Step 4: Simplify right side
    216.06x = 49,480.20
  5. Step 5: Solve for x
    x = 49,480.20/216.06
  6. Step 6: Final answer
    x = 229.01

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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.