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Finding the Fourth Proportional to 346.23, 516.42 and 315.54

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Solution

The fourth proportional to 346.23, 516.42 and 315.54 is: 470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.23 : 516.42 = 315.54 : x
  2. Step 2: Convert to fraction form
    346.23/516.42 = 315.54/x
  3. Step 3: Cross multiply
    346.23x = 516.42 × 315.54
  4. Step 4: Simplify right side
    346.23x = 162,951.17
  5. Step 5: Solve for x
    x = 162,951.17/346.23
  6. Step 6: Final answer
    x = 470.64

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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.