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Finding the Fourth Proportional to 367.69, 548.80 and 315.41

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Solution

The fourth proportional to 367.69, 548.80 and 315.41 is: 470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.69 : 548.80 = 315.41 : x
  2. Step 2: Convert to fraction form
    367.69/548.80 = 315.41/x
  3. Step 3: Cross multiply
    367.69x = 548.80 × 315.41
  4. Step 4: Simplify right side
    367.69x = 173,095.13
  5. Step 5: Solve for x
    x = 173,095.13/367.69
  6. Step 6: Final answer
    x = 470.76

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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.