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Finding the Fourth Proportional to 338.30, 504.89 and 315.75

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Solution

The fourth proportional to 338.30, 504.89 and 315.75 is: 471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.30 : 504.89 = 315.75 : x
  2. Step 2: Convert to fraction form
    338.30/504.89 = 315.75/x
  3. Step 3: Cross multiply
    338.30x = 504.89 × 315.75
  4. Step 4: Simplify right side
    338.30x = 159,417.90
  5. Step 5: Solve for x
    x = 159,417.90/338.30
  6. Step 6: Final answer
    x = 471.23

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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.