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Finding the Fourth Proportional to 419.28, 577.94 and 336.26

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Solution

The fourth proportional to 419.28, 577.94 and 336.26 is: 463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.28 : 577.94 = 336.26 : x
  2. Step 2: Convert to fraction form
    419.28/577.94 = 336.26/x
  3. Step 3: Cross multiply
    419.28x = 577.94 × 336.26
  4. Step 4: Simplify right side
    419.28x = 194,333.53
  5. Step 5: Solve for x
    x = 194,333.53/419.28
  6. Step 6: Final answer
    x = 463.49

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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.