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Finding the Fourth Proportional to 216.93, 299.47 and 199.36

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Solution

The fourth proportional to 216.93, 299.47 and 199.36 is: 275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.93 : 299.47 = 199.36 : x
  2. Step 2: Convert to fraction form
    216.93/299.47 = 199.36/x
  3. Step 3: Cross multiply
    216.93x = 299.47 × 199.36
  4. Step 4: Simplify right side
    216.93x = 59,703.15
  5. Step 5: Solve for x
    x = 59,703.15/216.93
  6. Step 6: Final answer
    x = 275.22

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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.