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Finding the Fourth Proportional to 338.16, 504.78 and 309.36

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Solution

The fourth proportional to 338.16, 504.78 and 309.36 is: 461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.16 : 504.78 = 309.36 : x
  2. Step 2: Convert to fraction form
    338.16/504.78 = 309.36/x
  3. Step 3: Cross multiply
    338.16x = 504.78 × 309.36
  4. Step 4: Simplify right side
    338.16x = 156,158.74
  5. Step 5: Solve for x
    x = 156,158.74/338.16
  6. Step 6: Final answer
    x = 461.79

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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.