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Finding the Fourth Proportional to 476.12, 656.90 and 308.07

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Solution

The fourth proportional to 476.12, 656.90 and 308.07 is: 425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.12 : 656.90 = 308.07 : x
  2. Step 2: Convert to fraction form
    476.12/656.90 = 308.07/x
  3. Step 3: Cross multiply
    476.12x = 656.90 × 308.07
  4. Step 4: Simplify right side
    476.12x = 202,369.64
  5. Step 5: Solve for x
    x = 202,369.64/476.12
  6. Step 6: Final answer
    x = 425.04

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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.