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Finding the Fourth Proportional to 476.21, 656.64 and 307.73

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Solution

The fourth proportional to 476.21, 656.64 and 307.73 is: 424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.21 : 656.64 = 307.73 : x
  2. Step 2: Convert to fraction form
    476.21/656.64 = 307.73/x
  3. Step 3: Cross multiply
    476.21x = 656.64 × 307.73
  4. Step 4: Simplify right side
    476.21x = 202,069.47
  5. Step 5: Solve for x
    x = 202,069.47/476.21
  6. Step 6: Final answer
    x = 424.33

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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.