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Finding the Fourth Proportional to 245.72, 339 and 171.06

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Solution

The fourth proportional to 245.72, 339 and 171.06 is: 236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.72 : 339 = 171.06 : x
  2. Step 2: Convert to fraction form
    245.72/339 = 171.06/x
  3. Step 3: Cross multiply
    245.72x = 339 × 171.06
  4. Step 4: Simplify right side
    245.72x = 57,989.34
  5. Step 5: Solve for x
    x = 57,989.34/245.72
  6. Step 6: Final answer
    x = 236.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.