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Finding the Fourth Proportional to 180.70, 272.57 and 175.23

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Solution

The fourth proportional to 180.70, 272.57 and 175.23 is: 264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.70 : 272.57 = 175.23 : x
  2. Step 2: Convert to fraction form
    180.70/272.57 = 175.23/x
  3. Step 3: Cross multiply
    180.70x = 272.57 × 175.23
  4. Step 4: Simplify right side
    180.70x = 47,761.56
  5. Step 5: Solve for x
    x = 47,761.56/180.70
  6. Step 6: Final answer
    x = 264.32

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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.