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Finding the Fourth Proportional to 492.21, 736.74 and 377.10

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Solution

The fourth proportional to 492.21, 736.74 and 377.10 is: 564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.21 : 736.74 = 377.10 : x
  2. Step 2: Convert to fraction form
    492.21/736.74 = 377.10/x
  3. Step 3: Cross multiply
    492.21x = 736.74 × 377.10
  4. Step 4: Simplify right side
    492.21x = 277,824.65
  5. Step 5: Solve for x
    x = 277,824.65/492.21
  6. Step 6: Final answer
    x = 564.44

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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.