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Finding the Fourth Proportional to 180.64, 269.80 and 153.64

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Solution

The fourth proportional to 180.64, 269.80 and 153.64 is: 229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.64 : 269.80 = 153.64 : x
  2. Step 2: Convert to fraction form
    180.64/269.80 = 153.64/x
  3. Step 3: Cross multiply
    180.64x = 269.80 × 153.64
  4. Step 4: Simplify right side
    180.64x = 41,452.07
  5. Step 5: Solve for x
    x = 41,452.07/180.64
  6. Step 6: Final answer
    x = 229.47

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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.