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Finding the Fourth Proportional to 152.56, 227.56 and 146.96

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Solution

The fourth proportional to 152.56, 227.56 and 146.96 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.56 : 227.56 = 146.96 : x
  2. Step 2: Convert to fraction form
    152.56/227.56 = 146.96/x
  3. Step 3: Cross multiply
    152.56x = 227.56 × 146.96
  4. Step 4: Simplify right side
    152.56x = 33,442.22
  5. Step 5: Solve for x
    x = 33,442.22/152.56
  6. Step 6: Final answer
    x = 219.21

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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.