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Finding the Fourth Proportional to 338.76, 505.94 and 320.13

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Solution

The fourth proportional to 338.76, 505.94 and 320.13 is: 478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.76 : 505.94 = 320.13 : x
  2. Step 2: Convert to fraction form
    338.76/505.94 = 320.13/x
  3. Step 3: Cross multiply
    338.76x = 505.94 × 320.13
  4. Step 4: Simplify right side
    338.76x = 161,964.97
  5. Step 5: Solve for x
    x = 161,964.97/338.76
  6. Step 6: Final answer
    x = 478.11

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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.