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Finding the Fourth Proportional to 493.69, 740.08 and 168.98

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Solution

The fourth proportional to 493.69, 740.08 and 168.98 is: 253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.69 : 740.08 = 168.98 : x
  2. Step 2: Convert to fraction form
    493.69/740.08 = 168.98/x
  3. Step 3: Cross multiply
    493.69x = 740.08 × 168.98
  4. Step 4: Simplify right side
    493.69x = 125,057.87
  5. Step 5: Solve for x
    x = 125,057.87/493.69
  6. Step 6: Final answer
    x = 253.31

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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.