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Finding the Fourth Proportional to 333.56, 502.52 and 261.74

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Solution

The fourth proportional to 333.56, 502.52 and 261.74 is: 394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.56 : 502.52 = 261.74 : x
  2. Step 2: Convert to fraction form
    333.56/502.52 = 261.74/x
  3. Step 3: Cross multiply
    333.56x = 502.52 × 261.74
  4. Step 4: Simplify right side
    333.56x = 131,529.58
  5. Step 5: Solve for x
    x = 131,529.58/333.56
  6. Step 6: Final answer
    x = 394.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.