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Finding the Fourth Proportional to 180.16, 247.04 and 170.08

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Solution

The fourth proportional to 180.16, 247.04 and 170.08 is: 233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 247.04 = 170.08 : x
  2. Step 2: Convert to fraction form
    180.16/247.04 = 170.08/x
  3. Step 3: Cross multiply
    180.16x = 247.04 × 170.08
  4. Step 4: Simplify right side
    180.16x = 42,016.56
  5. Step 5: Solve for x
    x = 42,016.56/180.16
  6. Step 6: Final answer
    x = 233.22

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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.