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Finding the Fourth Proportional to 419.31, 577.89 and 336.69

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Solution

The fourth proportional to 419.31, 577.89 and 336.69 is: 464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.31 : 577.89 = 336.69 : x
  2. Step 2: Convert to fraction form
    419.31/577.89 = 336.69/x
  3. Step 3: Cross multiply
    419.31x = 577.89 × 336.69
  4. Step 4: Simplify right side
    419.31x = 194,569.78
  5. Step 5: Solve for x
    x = 194,569.78/419.31
  6. Step 6: Final answer
    x = 464.02

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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.