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Finding the Fourth Proportional to 493.70, 740.38 and 164.55

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Solution

The fourth proportional to 493.70, 740.38 and 164.55 is: 246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.70 : 740.38 = 164.55 : x
  2. Step 2: Convert to fraction form
    493.70/740.38 = 164.55/x
  3. Step 3: Cross multiply
    493.70x = 740.38 × 164.55
  4. Step 4: Simplify right side
    493.70x = 121,825.83
  5. Step 5: Solve for x
    x = 121,825.83/493.70
  6. Step 6: Final answer
    x = 246.76

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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.