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Finding the Fourth Proportional to 180.56, 272.18 and 170.12

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Solution

The fourth proportional to 180.56, 272.18 and 170.12 is: 256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 272.18 = 170.12 : x
  2. Step 2: Convert to fraction form
    180.56/272.18 = 170.12/x
  3. Step 3: Cross multiply
    180.56x = 272.18 × 170.12
  4. Step 4: Simplify right side
    180.56x = 46,303.26
  5. Step 5: Solve for x
    x = 46,303.26/180.56
  6. Step 6: Final answer
    x = 256.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.