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Finding the Fourth Proportional to 475.44, 655.98 and 279

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Solution

The fourth proportional to 475.44, 655.98 and 279 is: 384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.44 : 655.98 = 279 : x
  2. Step 2: Convert to fraction form
    475.44/655.98 = 279/x
  3. Step 3: Cross multiply
    475.44x = 655.98 × 279
  4. Step 4: Simplify right side
    475.44x = 183,018.42
  5. Step 5: Solve for x
    x = 183,018.42/475.44
  6. Step 6: Final answer
    x = 384.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.