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Finding the Fourth Proportional to 476.42, 657.23 and 310.57

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Solution

The fourth proportional to 476.42, 657.23 and 310.57 is: 428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.42 : 657.23 = 310.57 : x
  2. Step 2: Convert to fraction form
    476.42/657.23 = 310.57/x
  3. Step 3: Cross multiply
    476.42x = 657.23 × 310.57
  4. Step 4: Simplify right side
    476.42x = 204,115.05
  5. Step 5: Solve for x
    x = 204,115.05/476.42
  6. Step 6: Final answer
    x = 428.44

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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.