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Finding the Fourth Proportional to 464.88, 641.61 and 290.28

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Solution

The fourth proportional to 464.88, 641.61 and 290.28 is: 400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.88 : 641.61 = 290.28 : x
  2. Step 2: Convert to fraction form
    464.88/641.61 = 290.28/x
  3. Step 3: Cross multiply
    464.88x = 641.61 × 290.28
  4. Step 4: Simplify right side
    464.88x = 186,246.55
  5. Step 5: Solve for x
    x = 186,246.55/464.88
  6. Step 6: Final answer
    x = 400.63

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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.