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Finding the Fourth Proportional to 321.98, 483.17 and 291.60

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Solution

The fourth proportional to 321.98, 483.17 and 291.60 is: 437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.98 : 483.17 = 291.60 : x
  2. Step 2: Convert to fraction form
    321.98/483.17 = 291.60/x
  3. Step 3: Cross multiply
    321.98x = 483.17 × 291.60
  4. Step 4: Simplify right side
    321.98x = 140,890.91
  5. Step 5: Solve for x
    x = 140,890.91/321.98
  6. Step 6: Final answer
    x = 437.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.