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Finding the Fourth Proportional to 180.34, 268.59 and 170.98

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Solution

The fourth proportional to 180.34, 268.59 and 170.98 is: 254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.34 : 268.59 = 170.98 : x
  2. Step 2: Convert to fraction form
    180.34/268.59 = 170.98/x
  3. Step 3: Cross multiply
    180.34x = 268.59 × 170.98
  4. Step 4: Simplify right side
    180.34x = 45,923.52
  5. Step 5: Solve for x
    x = 45,923.52/180.34
  6. Step 6: Final answer
    x = 254.65

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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.