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Finding the Fourth Proportional to 411.95, 616.05 and 307.91

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Solution

The fourth proportional to 411.95, 616.05 and 307.91 is: 460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.95 : 616.05 = 307.91 : x
  2. Step 2: Convert to fraction form
    411.95/616.05 = 307.91/x
  3. Step 3: Cross multiply
    411.95x = 616.05 × 307.91
  4. Step 4: Simplify right side
    411.95x = 189,687.96
  5. Step 5: Solve for x
    x = 189,687.96/411.95
  6. Step 6: Final answer
    x = 460.46

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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.