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Finding the Fourth Proportional to 342.29, 471.80 and 231.72

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Solution

The fourth proportional to 342.29, 471.80 and 231.72 is: 319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.29 : 471.80 = 231.72 : x
  2. Step 2: Convert to fraction form
    342.29/471.80 = 231.72/x
  3. Step 3: Cross multiply
    342.29x = 471.80 × 231.72
  4. Step 4: Simplify right side
    342.29x = 109,325.50
  5. Step 5: Solve for x
    x = 109,325.50/342.29
  6. Step 6: Final answer
    x = 319.39

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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.