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Finding the Fourth Proportional to 411.20, 616.68 and 289.16

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Solution

The fourth proportional to 411.20, 616.68 and 289.16 is: 433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.20 : 616.68 = 289.16 : x
  2. Step 2: Convert to fraction form
    411.20/616.68 = 289.16/x
  3. Step 3: Cross multiply
    411.20x = 616.68 × 289.16
  4. Step 4: Simplify right side
    411.20x = 178,319.19
  5. Step 5: Solve for x
    x = 178,319.19/411.20
  6. Step 6: Final answer
    x = 433.66

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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.