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Finding the Fourth Proportional to 493.94, 740.91 and 151.94

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Solution

The fourth proportional to 493.94, 740.91 and 151.94 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.94 : 740.91 = 151.94 : x
  2. Step 2: Convert to fraction form
    493.94/740.91 = 151.94/x
  3. Step 3: Cross multiply
    493.94x = 740.91 × 151.94
  4. Step 4: Simplify right side
    493.94x = 112,571.63
  5. Step 5: Solve for x
    x = 112,571.63/493.94
  6. Step 6: Final answer
    x = 227.91

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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.