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Finding the Fourth Proportional to 152.80, 227.40 and 149.60

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Solution

The fourth proportional to 152.80, 227.40 and 149.60 is: 222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.80 : 227.40 = 149.60 : x
  2. Step 2: Convert to fraction form
    152.80/227.40 = 149.60/x
  3. Step 3: Cross multiply
    152.80x = 227.40 × 149.60
  4. Step 4: Simplify right side
    152.80x = 34,019.04
  5. Step 5: Solve for x
    x = 34,019.04/152.80
  6. Step 6: Final answer
    x = 222.64

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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.