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Finding the Fourth Proportional to 346.43, 516.93 and 344.40

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Solution

The fourth proportional to 346.43, 516.93 and 344.40 is: 513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.43 : 516.93 = 344.40 : x
  2. Step 2: Convert to fraction form
    346.43/516.93 = 344.40/x
  3. Step 3: Cross multiply
    346.43x = 516.93 × 344.40
  4. Step 4: Simplify right side
    346.43x = 178,030.69
  5. Step 5: Solve for x
    x = 178,030.69/346.43
  6. Step 6: Final answer
    x = 513.91

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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.