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Finding the Fourth Proportional to 476.89, 657.92 and 290.23

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Solution

The fourth proportional to 476.89, 657.92 and 290.23 is: 400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.89 : 657.92 = 290.23 : x
  2. Step 2: Convert to fraction form
    476.89/657.92 = 290.23/x
  3. Step 3: Cross multiply
    476.89x = 657.92 × 290.23
  4. Step 4: Simplify right side
    476.89x = 190,950.90
  5. Step 5: Solve for x
    x = 190,950.90/476.89
  6. Step 6: Final answer
    x = 400.41

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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.