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Finding the Fourth Proportional to 216.45, 322.77 and 199.62

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Solution

The fourth proportional to 216.45, 322.77 and 199.62 is: 297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.45 : 322.77 = 199.62 : x
  2. Step 2: Convert to fraction form
    216.45/322.77 = 199.62/x
  3. Step 3: Cross multiply
    216.45x = 322.77 × 199.62
  4. Step 4: Simplify right side
    216.45x = 64,432.10
  5. Step 5: Solve for x
    x = 64,432.10/216.45
  6. Step 6: Final answer
    x = 297.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.