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Finding the Fourth Proportional to 152.79, 227.36 and 149.14

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Solution

The fourth proportional to 152.79, 227.36 and 149.14 is: 221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.79 : 227.36 = 149.14 : x
  2. Step 2: Convert to fraction form
    152.79/227.36 = 149.14/x
  3. Step 3: Cross multiply
    152.79x = 227.36 × 149.14
  4. Step 4: Simplify right side
    152.79x = 33,908.29
  5. Step 5: Solve for x
    x = 33,908.29/152.79
  6. Step 6: Final answer
    x = 221.93

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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.