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Finding the Fourth Proportional to 318.72, 475.44 and 279.84

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Solution

The fourth proportional to 318.72, 475.44 and 279.84 is: 417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.72 : 475.44 = 279.84 : x
  2. Step 2: Convert to fraction form
    318.72/475.44 = 279.84/x
  3. Step 3: Cross multiply
    318.72x = 475.44 × 279.84
  4. Step 4: Simplify right side
    318.72x = 133,047.13
  5. Step 5: Solve for x
    x = 133,047.13/318.72
  6. Step 6: Final answer
    x = 417.44

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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.