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Finding the Fourth Proportional to 153.63, 231.60 and 152.27

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Solution

The fourth proportional to 153.63, 231.60 and 152.27 is: 229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.63 : 231.60 = 152.27 : x
  2. Step 2: Convert to fraction form
    153.63/231.60 = 152.27/x
  3. Step 3: Cross multiply
    153.63x = 231.60 × 152.27
  4. Step 4: Simplify right side
    153.63x = 35,265.73
  5. Step 5: Solve for x
    x = 35,265.73/153.63
  6. Step 6: Final answer
    x = 229.55

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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.