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Finding the Fourth Proportional to 318.79, 471.49 and 318.79

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Solution

The fourth proportional to 318.79, 471.49 and 318.79 is: 471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.79 : 471.49 = 318.79 : x
  2. Step 2: Convert to fraction form
    318.79/471.49 = 318.79/x
  3. Step 3: Cross multiply
    318.79x = 471.49 × 318.79
  4. Step 4: Simplify right side
    318.79x = 150,306.30
  5. Step 5: Solve for x
    x = 150,306.30/318.79
  6. Step 6: Final answer
    x = 471.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.