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Finding the Fourth Proportional to 491.14, 735.76 and 274.87

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Solution

The fourth proportional to 491.14, 735.76 and 274.87 is: 411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.14 : 735.76 = 274.87 : x
  2. Step 2: Convert to fraction form
    491.14/735.76 = 274.87/x
  3. Step 3: Cross multiply
    491.14x = 735.76 × 274.87
  4. Step 4: Simplify right side
    491.14x = 202,233.30
  5. Step 5: Solve for x
    x = 202,233.30/491.14
  6. Step 6: Final answer
    x = 411.77

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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.