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Finding the Fourth Proportional to 342.44, 516.16 and 313.22

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Solution

The fourth proportional to 342.44, 516.16 and 313.22 is: 472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.44 : 516.16 = 313.22 : x
  2. Step 2: Convert to fraction form
    342.44/516.16 = 313.22/x
  3. Step 3: Cross multiply
    342.44x = 516.16 × 313.22
  4. Step 4: Simplify right side
    342.44x = 161,671.64
  5. Step 5: Solve for x
    x = 161,671.64/342.44
  6. Step 6: Final answer
    x = 472.12

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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.