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Finding the Fourth Proportional to 180.75, 269.40 and 170.50

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Solution

The fourth proportional to 180.75, 269.40 and 170.50 is: 254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 269.40 = 170.50 : x
  2. Step 2: Convert to fraction form
    180.75/269.40 = 170.50/x
  3. Step 3: Cross multiply
    180.75x = 269.40 × 170.50
  4. Step 4: Simplify right side
    180.75x = 45,931.35
  5. Step 5: Solve for x
    x = 45,931.35/180.75
  6. Step 6: Final answer
    x = 254.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.