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Finding the Fourth Proportional to 213.66, 295.02 and 172.08

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Solution

The fourth proportional to 213.66, 295.02 and 172.08 is: 237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.66 : 295.02 = 172.08 : x
  2. Step 2: Convert to fraction form
    213.66/295.02 = 172.08/x
  3. Step 3: Cross multiply
    213.66x = 295.02 × 172.08
  4. Step 4: Simplify right side
    213.66x = 50,767.04
  5. Step 5: Solve for x
    x = 50,767.04/213.66
  6. Step 6: Final answer
    x = 237.61

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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.