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Finding the Fourth Proportional to 491.90, 737.14 and 308.78

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Solution

The fourth proportional to 491.90, 737.14 and 308.78 is: 462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.90 : 737.14 = 308.78 : x
  2. Step 2: Convert to fraction form
    491.90/737.14 = 308.78/x
  3. Step 3: Cross multiply
    491.90x = 737.14 × 308.78
  4. Step 4: Simplify right side
    491.90x = 227,614.09
  5. Step 5: Solve for x
    x = 227,614.09/491.90
  6. Step 6: Final answer
    x = 462.72

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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.