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Finding the Fourth Proportional to 486.40, 671.24 and 289.92

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Solution

The fourth proportional to 486.40, 671.24 and 289.92 is: 400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.40 : 671.24 = 289.92 : x
  2. Step 2: Convert to fraction form
    486.40/671.24 = 289.92/x
  3. Step 3: Cross multiply
    486.40x = 671.24 × 289.92
  4. Step 4: Simplify right side
    486.40x = 194,605.90
  5. Step 5: Solve for x
    x = 194,605.90/486.40
  6. Step 6: Final answer
    x = 400.09

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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.