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Finding the Fourth Proportional to 497.64, 746.10 and 223.50

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Solution

The fourth proportional to 497.64, 746.10 and 223.50 is: 335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 746.10 = 223.50 : x
  2. Step 2: Convert to fraction form
    497.64/746.10 = 223.50/x
  3. Step 3: Cross multiply
    497.64x = 746.10 × 223.50
  4. Step 4: Simplify right side
    497.64x = 166,753.35
  5. Step 5: Solve for x
    x = 166,753.35/497.64
  6. Step 6: Final answer
    x = 335.09

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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.