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Finding the Fourth Proportional to 213.50, 318.71 and 184.79

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Solution

The fourth proportional to 213.50, 318.71 and 184.79 is: 275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 318.71 = 184.79 : x
  2. Step 2: Convert to fraction form
    213.50/318.71 = 184.79/x
  3. Step 3: Cross multiply
    213.50x = 318.71 × 184.79
  4. Step 4: Simplify right side
    213.50x = 58,895.68
  5. Step 5: Solve for x
    x = 58,895.68/213.50
  6. Step 6: Final answer
    x = 275.85

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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.