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Finding the Fourth Proportional to 477.05, 658.17 and 311.50

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Solution

The fourth proportional to 477.05, 658.17 and 311.50 is: 429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.05 : 658.17 = 311.50 : x
  2. Step 2: Convert to fraction form
    477.05/658.17 = 311.50/x
  3. Step 3: Cross multiply
    477.05x = 658.17 × 311.50
  4. Step 4: Simplify right side
    477.05x = 205,019.96
  5. Step 5: Solve for x
    x = 205,019.96/477.05
  6. Step 6: Final answer
    x = 429.77

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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.