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Finding the Fourth Proportional to 338.32, 507.45 and 280

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Solution

The fourth proportional to 338.32, 507.45 and 280 is: 419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.32 : 507.45 = 280 : x
  2. Step 2: Convert to fraction form
    338.32/507.45 = 280/x
  3. Step 3: Cross multiply
    338.32x = 507.45 × 280
  4. Step 4: Simplify right side
    338.32x = 142,086
  5. Step 5: Solve for x
    x = 142,086/338.32
  6. Step 6: Final answer
    x = 419.98

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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.