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Finding the Fourth Proportional to 171.34, 257.55 and 142.64

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Solution

The fourth proportional to 171.34, 257.55 and 142.64 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.34 : 257.55 = 142.64 : x
  2. Step 2: Convert to fraction form
    171.34/257.55 = 142.64/x
  3. Step 3: Cross multiply
    171.34x = 257.55 × 142.64
  4. Step 4: Simplify right side
    171.34x = 36,736.55
  5. Step 5: Solve for x
    x = 36,736.55/171.34
  6. Step 6: Final answer
    x = 214.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.