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Finding the Fourth Proportional to 361.92, 500.16 and 296.28

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Solution

The fourth proportional to 361.92, 500.16 and 296.28 is: 409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.92 : 500.16 = 296.28 : x
  2. Step 2: Convert to fraction form
    361.92/500.16 = 296.28/x
  3. Step 3: Cross multiply
    361.92x = 500.16 × 296.28
  4. Step 4: Simplify right side
    361.92x = 148,187.40
  5. Step 5: Solve for x
    x = 148,187.40/361.92
  6. Step 6: Final answer
    x = 409.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.