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Finding the Fourth Proportional to 334.36, 502.38 and 285.88

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Solution

The fourth proportional to 334.36, 502.38 and 285.88 is: 429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.36 : 502.38 = 285.88 : x
  2. Step 2: Convert to fraction form
    334.36/502.38 = 285.88/x
  3. Step 3: Cross multiply
    334.36x = 502.38 × 285.88
  4. Step 4: Simplify right side
    334.36x = 143,620.39
  5. Step 5: Solve for x
    x = 143,620.39/334.36
  6. Step 6: Final answer
    x = 429.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.