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Finding the Fourth Proportional to 216.55, 297.22 and 192.70

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Solution

The fourth proportional to 216.55, 297.22 and 192.70 is: 264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.55 : 297.22 = 192.70 : x
  2. Step 2: Convert to fraction form
    216.55/297.22 = 192.70/x
  3. Step 3: Cross multiply
    216.55x = 297.22 × 192.70
  4. Step 4: Simplify right side
    216.55x = 57,271.84
  5. Step 5: Solve for x
    x = 57,271.84/216.55
  6. Step 6: Final answer
    x = 264.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.