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Finding the Fourth Proportional to 152.74, 227.65 and 142.36

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Solution

The fourth proportional to 152.74, 227.65 and 142.36 is: 212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.74 : 227.65 = 142.36 : x
  2. Step 2: Convert to fraction form
    152.74/227.65 = 142.36/x
  3. Step 3: Cross multiply
    152.74x = 227.65 × 142.36
  4. Step 4: Simplify right side
    152.74x = 32,407.54
  5. Step 5: Solve for x
    x = 32,407.54/152.74
  6. Step 6: Final answer
    x = 212.17

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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.