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Finding the Fourth Proportional to 361.40, 545.13 and 350.46

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Solution

The fourth proportional to 361.40, 545.13 and 350.46 is: 528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.40 : 545.13 = 350.46 : x
  2. Step 2: Convert to fraction form
    361.40/545.13 = 350.46/x
  3. Step 3: Cross multiply
    361.40x = 545.13 × 350.46
  4. Step 4: Simplify right side
    361.40x = 191,046.26
  5. Step 5: Solve for x
    x = 191,046.26/361.40
  6. Step 6: Final answer
    x = 528.64

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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.