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Finding the Fourth Proportional to 155.72, 234.43 and 141.59

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Solution

The fourth proportional to 155.72, 234.43 and 141.59 is: 213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.72 : 234.43 = 141.59 : x
  2. Step 2: Convert to fraction form
    155.72/234.43 = 141.59/x
  3. Step 3: Cross multiply
    155.72x = 234.43 × 141.59
  4. Step 4: Simplify right side
    155.72x = 33,193.18
  5. Step 5: Solve for x
    x = 33,193.18/155.72
  6. Step 6: Final answer
    x = 213.16

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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.