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Finding the Fourth Proportional to 493.70, 740.75 and 169.29

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Solution

The fourth proportional to 493.70, 740.75 and 169.29 is: 254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.70 : 740.75 = 169.29 : x
  2. Step 2: Convert to fraction form
    493.70/740.75 = 169.29/x
  3. Step 3: Cross multiply
    493.70x = 740.75 × 169.29
  4. Step 4: Simplify right side
    493.70x = 125,400.72
  5. Step 5: Solve for x
    x = 125,400.72/493.70
  6. Step 6: Final answer
    x = 254.00

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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.