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Finding the Fourth Proportional to 411.45, 616.87 and 265.36

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Solution

The fourth proportional to 411.45, 616.87 and 265.36 is: 397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.45 : 616.87 = 265.36 : x
  2. Step 2: Convert to fraction form
    411.45/616.87 = 265.36/x
  3. Step 3: Cross multiply
    411.45x = 616.87 × 265.36
  4. Step 4: Simplify right side
    411.45x = 163,692.62
  5. Step 5: Solve for x
    x = 163,692.62/411.45
  6. Step 6: Final answer
    x = 397.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.