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Finding the Fourth Proportional to 493.89, 740.88 and 169.17

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Solution

The fourth proportional to 493.89, 740.88 and 169.17 is: 253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.89 : 740.88 = 169.17 : x
  2. Step 2: Convert to fraction form
    493.89/740.88 = 169.17/x
  3. Step 3: Cross multiply
    493.89x = 740.88 × 169.17
  4. Step 4: Simplify right side
    493.89x = 125,334.67
  5. Step 5: Solve for x
    x = 125,334.67/493.89
  6. Step 6: Final answer
    x = 253.77

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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.