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Finding the Fourth Proportional to 155.41, 234.33 and 142.65

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Solution

The fourth proportional to 155.41, 234.33 and 142.65 is: 215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.41 : 234.33 = 142.65 : x
  2. Step 2: Convert to fraction form
    155.41/234.33 = 142.65/x
  3. Step 3: Cross multiply
    155.41x = 234.33 × 142.65
  4. Step 4: Simplify right side
    155.41x = 33,427.17
  5. Step 5: Solve for x
    x = 33,427.17/155.41
  6. Step 6: Final answer
    x = 215.09

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Why These Related Problems?

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