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Finding the Fourth Proportional to 216.86, 323.74 and 187.50

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Solution

The fourth proportional to 216.86, 323.74 and 187.50 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.86 : 323.74 = 187.50 : x
  2. Step 2: Convert to fraction form
    216.86/323.74 = 187.50/x
  3. Step 3: Cross multiply
    216.86x = 323.74 × 187.50
  4. Step 4: Simplify right side
    216.86x = 60,701.25
  5. Step 5: Solve for x
    x = 60,701.25/216.86
  6. Step 6: Final answer
    x = 279.91

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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.