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Finding the Fourth Proportional to 491.31, 737.17 and 217.33

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Solution

The fourth proportional to 491.31, 737.17 and 217.33 is: 326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.31 : 737.17 = 217.33 : x
  2. Step 2: Convert to fraction form
    491.31/737.17 = 217.33/x
  3. Step 3: Cross multiply
    491.31x = 737.17 × 217.33
  4. Step 4: Simplify right side
    491.31x = 160,206.77
  5. Step 5: Solve for x
    x = 160,206.77/491.31
  6. Step 6: Final answer
    x = 326.08

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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.