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Finding the Fourth Proportional to 338.54, 510.23 and 319.70

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Solution

The fourth proportional to 338.54, 510.23 and 319.70 is: 481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.54 : 510.23 = 319.70 : x
  2. Step 2: Convert to fraction form
    338.54/510.23 = 319.70/x
  3. Step 3: Cross multiply
    338.54x = 510.23 × 319.70
  4. Step 4: Simplify right side
    338.54x = 163,116.38
  5. Step 5: Solve for x
    x = 163,116.38/338.54
  6. Step 6: Final answer
    x = 481.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.