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Finding the Fourth Proportional to 493.75, 740.83 and 234.28

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Solution

The fourth proportional to 493.75, 740.83 and 234.28 is: 351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.75 : 740.83 = 234.28 : x
  2. Step 2: Convert to fraction form
    493.75/740.83 = 234.28/x
  3. Step 3: Cross multiply
    493.75x = 740.83 × 234.28
  4. Step 4: Simplify right side
    493.75x = 173,561.65
  5. Step 5: Solve for x
    x = 173,561.65/493.75
  6. Step 6: Final answer
    x = 351.52

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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.