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Finding the Fourth Proportional to 491.92, 738.21 and 203.29

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Solution

The fourth proportional to 491.92, 738.21 and 203.29 is: 305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.92 : 738.21 = 203.29 : x
  2. Step 2: Convert to fraction form
    491.92/738.21 = 203.29/x
  3. Step 3: Cross multiply
    491.92x = 738.21 × 203.29
  4. Step 4: Simplify right side
    491.92x = 150,070.71
  5. Step 5: Solve for x
    x = 150,070.71/491.92
  6. Step 6: Final answer
    x = 305.07

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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.