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Finding the Fourth Proportional to 336.70, 502.39 and 282.70

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Solution

The fourth proportional to 336.70, 502.39 and 282.70 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.70 : 502.39 = 282.70 : x
  2. Step 2: Convert to fraction form
    336.70/502.39 = 282.70/x
  3. Step 3: Cross multiply
    336.70x = 502.39 × 282.70
  4. Step 4: Simplify right side
    336.70x = 142,025.65
  5. Step 5: Solve for x
    x = 142,025.65/336.70
  6. Step 6: Final answer
    x = 421.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.