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Finding the Fourth Proportional to 476.40, 656.81 and 349.96

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Solution

The fourth proportional to 476.40, 656.81 and 349.96 is: 482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.40 : 656.81 = 349.96 : x
  2. Step 2: Convert to fraction form
    476.40/656.81 = 349.96/x
  3. Step 3: Cross multiply
    476.40x = 656.81 × 349.96
  4. Step 4: Simplify right side
    476.40x = 229,857.23
  5. Step 5: Solve for x
    x = 229,857.23/476.40
  6. Step 6: Final answer
    x = 482.49

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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.