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Finding the Fourth Proportional to 498.03, 746.11 and 291.99

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Solution

The fourth proportional to 498.03, 746.11 and 291.99 is: 437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.03 : 746.11 = 291.99 : x
  2. Step 2: Convert to fraction form
    498.03/746.11 = 291.99/x
  3. Step 3: Cross multiply
    498.03x = 746.11 × 291.99
  4. Step 4: Simplify right side
    498.03x = 217,856.66
  5. Step 5: Solve for x
    x = 217,856.66/498.03
  6. Step 6: Final answer
    x = 437.44

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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.