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Finding the Fourth Proportional to 429.61, 643.99 and 224.20

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Solution

The fourth proportional to 429.61, 643.99 and 224.20 is: 336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.61 : 643.99 = 224.20 : x
  2. Step 2: Convert to fraction form
    429.61/643.99 = 224.20/x
  3. Step 3: Cross multiply
    429.61x = 643.99 × 224.20
  4. Step 4: Simplify right side
    429.61x = 144,382.56
  5. Step 5: Solve for x
    x = 144,382.56/429.61
  6. Step 6: Final answer
    x = 336.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.