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Finding the Fourth Proportional to 354.10, 487.54 and 321.70

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Solution

The fourth proportional to 354.10, 487.54 and 321.70 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.10 : 487.54 = 321.70 : x
  2. Step 2: Convert to fraction form
    354.10/487.54 = 321.70/x
  3. Step 3: Cross multiply
    354.10x = 487.54 × 321.70
  4. Step 4: Simplify right side
    354.10x = 156,841.62
  5. Step 5: Solve for x
    x = 156,841.62/354.10
  6. Step 6: Final answer
    x = 442.93

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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.