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Finding the Fourth Proportional to 354.88, 491.98 and 332.80

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Solution

The fourth proportional to 354.88, 491.98 and 332.80 is: 461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.88 : 491.98 = 332.80 : x
  2. Step 2: Convert to fraction form
    354.88/491.98 = 332.80/x
  3. Step 3: Cross multiply
    354.88x = 491.98 × 332.80
  4. Step 4: Simplify right side
    354.88x = 163,730.94
  5. Step 5: Solve for x
    x = 163,730.94/354.88
  6. Step 6: Final answer
    x = 461.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.