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Finding the Fourth Proportional to 492.80, 739.29 and 184.64

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Solution

The fourth proportional to 492.80, 739.29 and 184.64 is: 276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 739.29 = 184.64 : x
  2. Step 2: Convert to fraction form
    492.80/739.29 = 184.64/x
  3. Step 3: Cross multiply
    492.80x = 739.29 × 184.64
  4. Step 4: Simplify right side
    492.80x = 136,502.51
  5. Step 5: Solve for x
    x = 136,502.51/492.80
  6. Step 6: Final answer
    x = 276.99

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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.