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Finding the Fourth Proportional to 171.53, 255.80 and 153.77

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Solution

The fourth proportional to 171.53, 255.80 and 153.77 is: 229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.53 : 255.80 = 153.77 : x
  2. Step 2: Convert to fraction form
    171.53/255.80 = 153.77/x
  3. Step 3: Cross multiply
    171.53x = 255.80 × 153.77
  4. Step 4: Simplify right side
    171.53x = 39,333.47
  5. Step 5: Solve for x
    x = 39,333.47/171.53
  6. Step 6: Final answer
    x = 229.31

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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.