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Finding the Fourth Proportional to 429.72, 592.96 and 243.22

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Solution

The fourth proportional to 429.72, 592.96 and 243.22 is: 335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.72 : 592.96 = 243.22 : x
  2. Step 2: Convert to fraction form
    429.72/592.96 = 243.22/x
  3. Step 3: Cross multiply
    429.72x = 592.96 × 243.22
  4. Step 4: Simplify right side
    429.72x = 144,216.77
  5. Step 5: Solve for x
    x = 144,216.77/429.72
  6. Step 6: Final answer
    x = 335.61

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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.