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Finding the Fourth Proportional to 477.05, 657.90 and 311.10

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Solution

The fourth proportional to 477.05, 657.90 and 311.10 is: 429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.05 : 657.90 = 311.10 : x
  2. Step 2: Convert to fraction form
    477.05/657.90 = 311.10/x
  3. Step 3: Cross multiply
    477.05x = 657.90 × 311.10
  4. Step 4: Simplify right side
    477.05x = 204,672.69
  5. Step 5: Solve for x
    x = 204,672.69/477.05
  6. Step 6: Final answer
    x = 429.04

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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.