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Finding the Fourth Proportional to 180.42, 272.19 and 170.46

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Solution

The fourth proportional to 180.42, 272.19 and 170.46 is: 257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 272.19 = 170.46 : x
  2. Step 2: Convert to fraction form
    180.42/272.19 = 170.46/x
  3. Step 3: Cross multiply
    180.42x = 272.19 × 170.46
  4. Step 4: Simplify right side
    180.42x = 46,397.51
  5. Step 5: Solve for x
    x = 46,397.51/180.42
  6. Step 6: Final answer
    x = 257.16

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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.