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Finding the Fourth Proportional to 334.96, 502.59 and 257.80

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Solution

The fourth proportional to 334.96, 502.59 and 257.80 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.96 : 502.59 = 257.80 : x
  2. Step 2: Convert to fraction form
    334.96/502.59 = 257.80/x
  3. Step 3: Cross multiply
    334.96x = 502.59 × 257.80
  4. Step 4: Simplify right side
    334.96x = 129,567.70
  5. Step 5: Solve for x
    x = 129,567.70/334.96
  6. Step 6: Final answer
    x = 386.82

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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.