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Finding the Fourth Proportional to 492.98, 739.14 and 184.46

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Solution

The fourth proportional to 492.98, 739.14 and 184.46 is: 276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.98 : 739.14 = 184.46 : x
  2. Step 2: Convert to fraction form
    492.98/739.14 = 184.46/x
  3. Step 3: Cross multiply
    492.98x = 739.14 × 184.46
  4. Step 4: Simplify right side
    492.98x = 136,341.76
  5. Step 5: Solve for x
    x = 136,341.76/492.98
  6. Step 6: Final answer
    x = 276.57

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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.