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Finding the Fourth Proportional to 361.62, 545.12 and 301.16

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Solution

The fourth proportional to 361.62, 545.12 and 301.16 is: 453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.62 : 545.12 = 301.16 : x
  2. Step 2: Convert to fraction form
    361.62/545.12 = 301.16/x
  3. Step 3: Cross multiply
    361.62x = 545.12 × 301.16
  4. Step 4: Simplify right side
    361.62x = 164,164.11
  5. Step 5: Solve for x
    x = 164,164.11/361.62
  6. Step 6: Final answer
    x = 453.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.