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Finding the Fourth Proportional to 338.60, 505.70 and 284.48

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Solution

The fourth proportional to 338.60, 505.70 and 284.48 is: 424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.60 : 505.70 = 284.48 : x
  2. Step 2: Convert to fraction form
    338.60/505.70 = 284.48/x
  3. Step 3: Cross multiply
    338.60x = 505.70 × 284.48
  4. Step 4: Simplify right side
    338.60x = 143,861.54
  5. Step 5: Solve for x
    x = 143,861.54/338.60
  6. Step 6: Final answer
    x = 424.87

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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.