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Finding the Fourth Proportional to 358.76, 493.05 and 322.31

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Solution

The fourth proportional to 358.76, 493.05 and 322.31 is: 442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.76 : 493.05 = 322.31 : x
  2. Step 2: Convert to fraction form
    358.76/493.05 = 322.31/x
  3. Step 3: Cross multiply
    358.76x = 493.05 × 322.31
  4. Step 4: Simplify right side
    358.76x = 158,917.39
  5. Step 5: Solve for x
    x = 158,917.39/358.76
  6. Step 6: Final answer
    x = 442.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.