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Finding the Fourth Proportional to 152.13, 227.09 and 140.85

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Solution

The fourth proportional to 152.13, 227.09 and 140.85 is: 210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.13 : 227.09 = 140.85 : x
  2. Step 2: Convert to fraction form
    152.13/227.09 = 140.85/x
  3. Step 3: Cross multiply
    152.13x = 227.09 × 140.85
  4. Step 4: Simplify right side
    152.13x = 31,984.92
  5. Step 5: Solve for x
    x = 31,984.92/152.13
  6. Step 6: Final answer
    x = 210.25

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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.