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Finding the Fourth Proportional to 346.22, 516.14 and 318.81

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Solution

The fourth proportional to 346.22, 516.14 and 318.81 is: 475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.22 : 516.14 = 318.81 : x
  2. Step 2: Convert to fraction form
    346.22/516.14 = 318.81/x
  3. Step 3: Cross multiply
    346.22x = 516.14 × 318.81
  4. Step 4: Simplify right side
    346.22x = 164,551.39
  5. Step 5: Solve for x
    x = 164,551.39/346.22
  6. Step 6: Final answer
    x = 475.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.