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Finding the Fourth Proportional to 216.95, 323.93 and 180.50

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Solution

The fourth proportional to 216.95, 323.93 and 180.50 is: 269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.95 : 323.93 = 180.50 : x
  2. Step 2: Convert to fraction form
    216.95/323.93 = 180.50/x
  3. Step 3: Cross multiply
    216.95x = 323.93 × 180.50
  4. Step 4: Simplify right side
    216.95x = 58,468.20
  5. Step 5: Solve for x
    x = 58,468.20/216.95
  6. Step 6: Final answer
    x = 269.51

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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.