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Finding the Fourth Proportional to 338.64, 507.18 and 280.32

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Solution

The fourth proportional to 338.64, 507.18 and 280.32 is: 419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 507.18 = 280.32 : x
  2. Step 2: Convert to fraction form
    338.64/507.18 = 280.32/x
  3. Step 3: Cross multiply
    338.64x = 507.18 × 280.32
  4. Step 4: Simplify right side
    338.64x = 142,172.70
  5. Step 5: Solve for x
    x = 142,172.70/338.64
  6. Step 6: Final answer
    x = 419.83

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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.