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Finding the Fourth Proportional to 485.72, 729.10 and 269.48

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Solution

The fourth proportional to 485.72, 729.10 and 269.48 is: 404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.72 : 729.10 = 269.48 : x
  2. Step 2: Convert to fraction form
    485.72/729.10 = 269.48/x
  3. Step 3: Cross multiply
    485.72x = 729.10 × 269.48
  4. Step 4: Simplify right side
    485.72x = 196,477.87
  5. Step 5: Solve for x
    x = 196,477.87/485.72
  6. Step 6: Final answer
    x = 404.51

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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.