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Finding the Fourth Proportional to 476.80, 657.96 and 290.29

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Solution

The fourth proportional to 476.80, 657.96 and 290.29 is: 400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.80 : 657.96 = 290.29 : x
  2. Step 2: Convert to fraction form
    476.80/657.96 = 290.29/x
  3. Step 3: Cross multiply
    476.80x = 657.96 × 290.29
  4. Step 4: Simplify right side
    476.80x = 190,999.21
  5. Step 5: Solve for x
    x = 190,999.21/476.80
  6. Step 6: Final answer
    x = 400.59

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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.