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Finding the Fourth Proportional to 409.92, 615.78 and 288.42

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Solution

The fourth proportional to 409.92, 615.78 and 288.42 is: 433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 615.78 = 288.42 : x
  2. Step 2: Convert to fraction form
    409.92/615.78 = 288.42/x
  3. Step 3: Cross multiply
    409.92x = 615.78 × 288.42
  4. Step 4: Simplify right side
    409.92x = 177,603.27
  5. Step 5: Solve for x
    x = 177,603.27/409.92
  6. Step 6: Final answer
    x = 433.26

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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.