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Finding the Fourth Proportional to 476.26, 657.24 and 308.38

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Solution

The fourth proportional to 476.26, 657.24 and 308.38 is: 425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.26 : 657.24 = 308.38 : x
  2. Step 2: Convert to fraction form
    476.26/657.24 = 308.38/x
  3. Step 3: Cross multiply
    476.26x = 657.24 × 308.38
  4. Step 4: Simplify right side
    476.26x = 202,679.67
  5. Step 5: Solve for x
    x = 202,679.67/476.26
  6. Step 6: Final answer
    x = 425.57

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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.