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Finding the Fourth Proportional to 435.94, 601.28 and 269.94

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Solution

The fourth proportional to 435.94, 601.28 and 269.94 is: 372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.94 : 601.28 = 269.94 : x
  2. Step 2: Convert to fraction form
    435.94/601.28 = 269.94/x
  3. Step 3: Cross multiply
    435.94x = 601.28 × 269.94
  4. Step 4: Simplify right side
    435.94x = 162,309.52
  5. Step 5: Solve for x
    x = 162,309.52/435.94
  6. Step 6: Final answer
    x = 372.32

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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.