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Finding the Fourth Proportional to 429.57, 592.90 and 243.07

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Solution

The fourth proportional to 429.57, 592.90 and 243.07 is: 335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.57 : 592.90 = 243.07 : x
  2. Step 2: Convert to fraction form
    429.57/592.90 = 243.07/x
  3. Step 3: Cross multiply
    429.57x = 592.90 × 243.07
  4. Step 4: Simplify right side
    429.57x = 144,112.02
  5. Step 5: Solve for x
    x = 144,112.02/429.57
  6. Step 6: Final answer
    x = 335.48

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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.