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Finding the Fourth Proportional to 491.66, 737.78 and 199.30

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Solution

The fourth proportional to 491.66, 737.78 and 199.30 is: 299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.66 : 737.78 = 199.30 : x
  2. Step 2: Convert to fraction form
    491.66/737.78 = 199.30/x
  3. Step 3: Cross multiply
    491.66x = 737.78 × 199.30
  4. Step 4: Simplify right side
    491.66x = 147,039.55
  5. Step 5: Solve for x
    x = 147,039.55/491.66
  6. Step 6: Final answer
    x = 299.07

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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.