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Finding the Fourth Proportional to 491.89, 737.59 and 179.53

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Solution

The fourth proportional to 491.89, 737.59 and 179.53 is: 269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.89 : 737.59 = 179.53 : x
  2. Step 2: Convert to fraction form
    491.89/737.59 = 179.53/x
  3. Step 3: Cross multiply
    491.89x = 737.59 × 179.53
  4. Step 4: Simplify right side
    491.89x = 132,419.53
  5. Step 5: Solve for x
    x = 132,419.53/491.89
  6. Step 6: Final answer
    x = 269.21

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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.