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Finding the Fourth Proportional to 231.01, 347.86 and 170.56

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Solution

The fourth proportional to 231.01, 347.86 and 170.56 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.01 : 347.86 = 170.56 : x
  2. Step 2: Convert to fraction form
    231.01/347.86 = 170.56/x
  3. Step 3: Cross multiply
    231.01x = 347.86 × 170.56
  4. Step 4: Simplify right side
    231.01x = 59,331.01
  5. Step 5: Solve for x
    x = 59,331.01/231.01
  6. Step 6: Final answer
    x = 256.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.