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Finding the Fourth Proportional to 476.84, 658.23 and 311.06

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Solution

The fourth proportional to 476.84, 658.23 and 311.06 is: 429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.84 : 658.23 = 311.06 : x
  2. Step 2: Convert to fraction form
    476.84/658.23 = 311.06/x
  3. Step 3: Cross multiply
    476.84x = 658.23 × 311.06
  4. Step 4: Simplify right side
    476.84x = 204,749.02
  5. Step 5: Solve for x
    x = 204,749.02/476.84
  6. Step 6: Final answer
    x = 429.39

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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.