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Finding the Fourth Proportional to 486.20, 670.58 and 311.46

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Solution

The fourth proportional to 486.20, 670.58 and 311.46 is: 429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.20 : 670.58 = 311.46 : x
  2. Step 2: Convert to fraction form
    486.20/670.58 = 311.46/x
  3. Step 3: Cross multiply
    486.20x = 670.58 × 311.46
  4. Step 4: Simplify right side
    486.20x = 208,858.85
  5. Step 5: Solve for x
    x = 208,858.85/486.20
  6. Step 6: Final answer
    x = 429.57

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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.