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Finding the Fourth Proportional to 153.41, 231.31 and 140.65

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Solution

The fourth proportional to 153.41, 231.31 and 140.65 is: 212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.41 : 231.31 = 140.65 : x
  2. Step 2: Convert to fraction form
    153.41/231.31 = 140.65/x
  3. Step 3: Cross multiply
    153.41x = 231.31 × 140.65
  4. Step 4: Simplify right side
    153.41x = 32,533.75
  5. Step 5: Solve for x
    x = 32,533.75/153.41
  6. Step 6: Final answer
    x = 212.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.