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Finding the Fourth Proportional to 182.16, 249.78 and 172.08

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Solution

The fourth proportional to 182.16, 249.78 and 172.08 is: 235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 249.78 = 172.08 : x
  2. Step 2: Convert to fraction form
    182.16/249.78 = 172.08/x
  3. Step 3: Cross multiply
    182.16x = 249.78 × 172.08
  4. Step 4: Simplify right side
    182.16x = 42,982.14
  5. Step 5: Solve for x
    x = 42,982.14/182.16
  6. Step 6: Final answer
    x = 235.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.