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Finding the Fourth Proportional to 409.03, 564.32 and 269.23

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Solution

The fourth proportional to 409.03, 564.32 and 269.23 is: 371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.03 : 564.32 = 269.23 : x
  2. Step 2: Convert to fraction form
    409.03/564.32 = 269.23/x
  3. Step 3: Cross multiply
    409.03x = 564.32 × 269.23
  4. Step 4: Simplify right side
    409.03x = 151,931.87
  5. Step 5: Solve for x
    x = 151,931.87/409.03
  6. Step 6: Final answer
    x = 371.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.