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Finding the Fourth Proportional to 407.03, 609.50 and 269.66

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Solution

The fourth proportional to 407.03, 609.50 and 269.66 is: 403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.03 : 609.50 = 269.66 : x
  2. Step 2: Convert to fraction form
    407.03/609.50 = 269.66/x
  3. Step 3: Cross multiply
    407.03x = 609.50 × 269.66
  4. Step 4: Simplify right side
    407.03x = 164,359.97
  5. Step 5: Solve for x
    x = 164,359.97/407.03
  6. Step 6: Final answer
    x = 403.81

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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.