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Finding the Fourth Proportional to 180.16, 246.76 and 170.20

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Solution

The fourth proportional to 180.16, 246.76 and 170.20 is: 233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 246.76 = 170.20 : x
  2. Step 2: Convert to fraction form
    180.16/246.76 = 170.20/x
  3. Step 3: Cross multiply
    180.16x = 246.76 × 170.20
  4. Step 4: Simplify right side
    180.16x = 41,998.55
  5. Step 5: Solve for x
    x = 41,998.55/180.16
  6. Step 6: Final answer
    x = 233.12

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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.