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Finding the Fourth Proportional to 491.08, 735.89 and 307.92

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Solution

The fourth proportional to 491.08, 735.89 and 307.92 is: 461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.08 : 735.89 = 307.92 : x
  2. Step 2: Convert to fraction form
    491.08/735.89 = 307.92/x
  3. Step 3: Cross multiply
    491.08x = 735.89 × 307.92
  4. Step 4: Simplify right side
    491.08x = 226,595.25
  5. Step 5: Solve for x
    x = 226,595.25/491.08
  6. Step 6: Final answer
    x = 461.42

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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.