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Finding the Fourth Proportional to 152.34, 227.19 and 137.76

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Solution

The fourth proportional to 152.34, 227.19 and 137.76 is: 205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.34 : 227.19 = 137.76 : x
  2. Step 2: Convert to fraction form
    152.34/227.19 = 137.76/x
  3. Step 3: Cross multiply
    152.34x = 227.19 × 137.76
  4. Step 4: Simplify right side
    152.34x = 31,297.69
  5. Step 5: Solve for x
    x = 31,297.69/152.34
  6. Step 6: Final answer
    x = 205.45

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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.