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Finding the Fourth Proportional to 338.87, 505.62 and 315.32

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Solution

The fourth proportional to 338.87, 505.62 and 315.32 is: 470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.87 : 505.62 = 315.32 : x
  2. Step 2: Convert to fraction form
    338.87/505.62 = 315.32/x
  3. Step 3: Cross multiply
    338.87x = 505.62 × 315.32
  4. Step 4: Simplify right side
    338.87x = 159,429.57
  5. Step 5: Solve for x
    x = 159,429.57/338.87
  6. Step 6: Final answer
    x = 470.47

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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.