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Finding the Fourth Proportional to 338.87, 507.08 and 280.55

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Solution

The fourth proportional to 338.87, 507.08 and 280.55 is: 419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.87 : 507.08 = 280.55 : x
  2. Step 2: Convert to fraction form
    338.87/507.08 = 280.55/x
  3. Step 3: Cross multiply
    338.87x = 507.08 × 280.55
  4. Step 4: Simplify right side
    338.87x = 142,257.36
  5. Step 5: Solve for x
    x = 142,257.36/338.87
  6. Step 6: Final answer
    x = 419.81

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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.