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Finding the Fourth Proportional to 342.14, 471.98 and 231.68

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Solution

The fourth proportional to 342.14, 471.98 and 231.68 is: 319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.14 : 471.98 = 231.68 : x
  2. Step 2: Convert to fraction form
    342.14/471.98 = 231.68/x
  3. Step 3: Cross multiply
    342.14x = 471.98 × 231.68
  4. Step 4: Simplify right side
    342.14x = 109,344.81
  5. Step 5: Solve for x
    x = 109,344.81/342.14
  6. Step 6: Final answer
    x = 319.60

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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.