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Finding the Fourth Proportional to 334.95, 502.85 and 257.96

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Solution

The fourth proportional to 334.95, 502.85 and 257.96 is: 387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.95 : 502.85 = 257.96 : x
  2. Step 2: Convert to fraction form
    334.95/502.85 = 257.96/x
  3. Step 3: Cross multiply
    334.95x = 502.85 × 257.96
  4. Step 4: Simplify right side
    334.95x = 129,718.16
  5. Step 5: Solve for x
    x = 129,718.16/334.95
  6. Step 6: Final answer
    x = 387.28

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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.