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Finding the Fourth Proportional to 493.71, 739.59 and 233.34

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Solution

The fourth proportional to 493.71, 739.59 and 233.34 is: 349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.71 : 739.59 = 233.34 : x
  2. Step 2: Convert to fraction form
    493.71/739.59 = 233.34/x
  3. Step 3: Cross multiply
    493.71x = 739.59 × 233.34
  4. Step 4: Simplify right side
    493.71x = 172,575.93
  5. Step 5: Solve for x
    x = 172,575.93/493.71
  6. Step 6: Final answer
    x = 349.55

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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.