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Finding the Fourth Proportional to 338.01, 504.82 and 319.38

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Solution

The fourth proportional to 338.01, 504.82 and 319.38 is: 476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.01 : 504.82 = 319.38 : x
  2. Step 2: Convert to fraction form
    338.01/504.82 = 319.38/x
  3. Step 3: Cross multiply
    338.01x = 504.82 × 319.38
  4. Step 4: Simplify right side
    338.01x = 161,228.61
  5. Step 5: Solve for x
    x = 161,228.61/338.01
  6. Step 6: Final answer
    x = 476.99

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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.