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Finding the Fourth Proportional to 419.24, 579.16 and 336.24

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Solution

The fourth proportional to 419.24, 579.16 and 336.24 is: 464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.24 : 579.16 = 336.24 : x
  2. Step 2: Convert to fraction form
    419.24/579.16 = 336.24/x
  3. Step 3: Cross multiply
    419.24x = 579.16 × 336.24
  4. Step 4: Simplify right side
    419.24x = 194,736.76
  5. Step 5: Solve for x
    x = 194,736.76/419.24
  6. Step 6: Final answer
    x = 464.50

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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.