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Finding the Fourth Proportional to 335.06, 503.27 and 257.76

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Solution

The fourth proportional to 335.06, 503.27 and 257.76 is: 387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.06 : 503.27 = 257.76 : x
  2. Step 2: Convert to fraction form
    335.06/503.27 = 257.76/x
  3. Step 3: Cross multiply
    335.06x = 503.27 × 257.76
  4. Step 4: Simplify right side
    335.06x = 129,723.52
  5. Step 5: Solve for x
    x = 129,723.52/335.06
  6. Step 6: Final answer
    x = 387.16

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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.