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Finding the Fourth Proportional to 338.63, 505.04 and 315.54

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Solution

The fourth proportional to 338.63, 505.04 and 315.54 is: 470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.63 : 505.04 = 315.54 : x
  2. Step 2: Convert to fraction form
    338.63/505.04 = 315.54/x
  3. Step 3: Cross multiply
    338.63x = 505.04 × 315.54
  4. Step 4: Simplify right side
    338.63x = 159,358.74
  5. Step 5: Solve for x
    x = 159,358.74/338.63
  6. Step 6: Final answer
    x = 470.61

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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.