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Finding the Fourth Proportional to 449.02, 670.64 and 366.94

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Solution

The fourth proportional to 449.02, 670.64 and 366.94 is: 548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.02 : 670.64 = 366.94 : x
  2. Step 2: Convert to fraction form
    449.02/670.64 = 366.94/x
  3. Step 3: Cross multiply
    449.02x = 670.64 × 366.94
  4. Step 4: Simplify right side
    449.02x = 246,084.64
  5. Step 5: Solve for x
    x = 246,084.64/449.02
  6. Step 6: Final answer
    x = 548.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.