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Finding the Fourth Proportional to 171.47, 255.99 and 141.09

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Solution

The fourth proportional to 171.47, 255.99 and 141.09 is: 210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.47 : 255.99 = 141.09 : x
  2. Step 2: Convert to fraction form
    171.47/255.99 = 141.09/x
  3. Step 3: Cross multiply
    171.47x = 255.99 × 141.09
  4. Step 4: Simplify right side
    171.47x = 36,117.63
  5. Step 5: Solve for x
    x = 36,117.63/171.47
  6. Step 6: Final answer
    x = 210.64

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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.