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Finding the Fourth Proportional to 346.23, 516.69 and 316.80

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Solution

The fourth proportional to 346.23, 516.69 and 316.80 is: 472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.23 : 516.69 = 316.80 : x
  2. Step 2: Convert to fraction form
    346.23/516.69 = 316.80/x
  3. Step 3: Cross multiply
    346.23x = 516.69 × 316.80
  4. Step 4: Simplify right side
    346.23x = 163,687.39
  5. Step 5: Solve for x
    x = 163,687.39/346.23
  6. Step 6: Final answer
    x = 472.77

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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.