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Finding the Fourth Proportional to 338.65, 504.23 and 318.61

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Solution

The fourth proportional to 338.65, 504.23 and 318.61 is: 474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.65 : 504.23 = 318.61 : x
  2. Step 2: Convert to fraction form
    338.65/504.23 = 318.61/x
  3. Step 3: Cross multiply
    338.65x = 504.23 × 318.61
  4. Step 4: Simplify right side
    338.65x = 160,652.72
  5. Step 5: Solve for x
    x = 160,652.72/338.65
  6. Step 6: Final answer
    x = 474.39

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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.