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Finding the Fourth Proportional to 232, 347.50 and 171.24

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Solution

The fourth proportional to 232, 347.50 and 171.24 is: 256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232 : 347.50 = 171.24 : x
  2. Step 2: Convert to fraction form
    232/347.50 = 171.24/x
  3. Step 3: Cross multiply
    232x = 347.50 × 171.24
  4. Step 4: Simplify right side
    232x = 59,505.90
  5. Step 5: Solve for x
    x = 59,505.90/232
  6. Step 6: Final answer
    x = 256.49

Related Problems

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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.