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Finding the Fourth Proportional to 491.74, 737.10 and 244.78

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Solution

The fourth proportional to 491.74, 737.10 and 244.78 is: 366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.74 : 737.10 = 244.78 : x
  2. Step 2: Convert to fraction form
    491.74/737.10 = 244.78/x
  3. Step 3: Cross multiply
    491.74x = 737.10 × 244.78
  4. Step 4: Simplify right side
    491.74x = 180,427.34
  5. Step 5: Solve for x
    x = 180,427.34/491.74
  6. Step 6: Final answer
    x = 366.92

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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.