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Finding the Fourth Proportional to 213.86, 294.94 and 172.40

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Solution

The fourth proportional to 213.86, 294.94 and 172.40 is: 237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.86 : 294.94 = 172.40 : x
  2. Step 2: Convert to fraction form
    213.86/294.94 = 172.40/x
  3. Step 3: Cross multiply
    213.86x = 294.94 × 172.40
  4. Step 4: Simplify right side
    213.86x = 50,846.18
  5. Step 5: Solve for x
    x = 50,846.18/213.86
  6. Step 6: Final answer
    x = 237.76

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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.