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Finding the Fourth Proportional to 419.64, 578.02 and 353.17

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Solution

The fourth proportional to 419.64, 578.02 and 353.17 is: 486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 578.02 = 353.17 : x
  2. Step 2: Convert to fraction form
    419.64/578.02 = 353.17/x
  3. Step 3: Cross multiply
    419.64x = 578.02 × 353.17
  4. Step 4: Simplify right side
    419.64x = 204,138.20
  5. Step 5: Solve for x
    x = 204,138.20/419.64
  6. Step 6: Final answer
    x = 486.46

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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.