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Finding the Fourth Proportional to 171.84, 257.73 and 75.63

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Solution

The fourth proportional to 171.84, 257.73 and 75.63 is: 113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.84 : 257.73 = 75.63 : x
  2. Step 2: Convert to fraction form
    171.84/257.73 = 75.63/x
  3. Step 3: Cross multiply
    171.84x = 257.73 × 75.63
  4. Step 4: Simplify right side
    171.84x = 19,492.12
  5. Step 5: Solve for x
    x = 19,492.12/171.84
  6. Step 6: Final answer
    x = 113.43

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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.