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Finding the Fourth Proportional to 342.22, 471.89 and 231.51

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Solution

The fourth proportional to 342.22, 471.89 and 231.51 is: 319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.22 : 471.89 = 231.51 : x
  2. Step 2: Convert to fraction form
    342.22/471.89 = 231.51/x
  3. Step 3: Cross multiply
    342.22x = 471.89 × 231.51
  4. Step 4: Simplify right side
    342.22x = 109,244.61
  5. Step 5: Solve for x
    x = 109,244.61/342.22
  6. Step 6: Final answer
    x = 319.22

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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.