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Finding the Fourth Proportional to 493.34, 738.63 and 261.71

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Solution

The fourth proportional to 493.34, 738.63 and 261.71 is: 391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.34 : 738.63 = 261.71 : x
  2. Step 2: Convert to fraction form
    493.34/738.63 = 261.71/x
  3. Step 3: Cross multiply
    493.34x = 738.63 × 261.71
  4. Step 4: Simplify right side
    493.34x = 193,303.16
  5. Step 5: Solve for x
    x = 193,303.16/493.34
  6. Step 6: Final answer
    x = 391.83

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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.