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Finding the Fourth Proportional to 216.02, 297.83 and 171.92

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Solution

The fourth proportional to 216.02, 297.83 and 171.92 is: 237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.02 : 297.83 = 171.92 : x
  2. Step 2: Convert to fraction form
    216.02/297.83 = 171.92/x
  3. Step 3: Cross multiply
    216.02x = 297.83 × 171.92
  4. Step 4: Simplify right side
    216.02x = 51,200.58
  5. Step 5: Solve for x
    x = 51,200.58/216.02
  6. Step 6: Final answer
    x = 237.02

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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.