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Finding the Fourth Proportional to 493.38, 740.34 and 371.34

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Solution

The fourth proportional to 493.38, 740.34 and 371.34 is: 557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.38 : 740.34 = 371.34 : x
  2. Step 2: Convert to fraction form
    493.38/740.34 = 371.34/x
  3. Step 3: Cross multiply
    493.38x = 740.34 × 371.34
  4. Step 4: Simplify right side
    493.38x = 274,917.86
  5. Step 5: Solve for x
    x = 274,917.86/493.38
  6. Step 6: Final answer
    x = 557.21

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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.