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Finding the Fourth Proportional to 334.51, 502.37 and 257.66

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Solution

The fourth proportional to 334.51, 502.37 and 257.66 is: 386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.51 : 502.37 = 257.66 : x
  2. Step 2: Convert to fraction form
    334.51/502.37 = 257.66/x
  3. Step 3: Cross multiply
    334.51x = 502.37 × 257.66
  4. Step 4: Simplify right side
    334.51x = 129,439.70
  5. Step 5: Solve for x
    x = 129,439.70/334.51
  6. Step 6: Final answer
    x = 386.96

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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.