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Finding the Fourth Proportional to 436.08, 601.76 and 280.80

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Solution

The fourth proportional to 436.08, 601.76 and 280.80 is: 387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.08 : 601.76 = 280.80 : x
  2. Step 2: Convert to fraction form
    436.08/601.76 = 280.80/x
  3. Step 3: Cross multiply
    436.08x = 601.76 × 280.80
  4. Step 4: Simplify right side
    436.08x = 168,974.21
  5. Step 5: Solve for x
    x = 168,974.21/436.08
  6. Step 6: Final answer
    x = 387.48

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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.